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Finding the Third Proportional to 43,014.38 and 100,005.75

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Solution

The third proportional to 43,014.38 and 100,005.75 is: 232,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,014.38 : 100,005.75 = 100,005.75 : x
  2. Step 2: Convert to fraction form
    43,014.38/100,005.75 = 100,005.75/x
  3. Step 3: Cross multiply
    43,014.38x = 100,005.75 × 100,005.75
  4. Step 4: Simplify right side
    43,014.38x = 10,001,150,033.06
  5. Step 5: Solve for x
    x = 10,001,150,033.06/43,014.38
  6. Step 6: Final answer
    x = 232,507.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.