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Finding the Third Proportional to 35,600.25 and 75,801.75

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Solution

The third proportional to 35,600.25 and 75,801.75 is: 161,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,600.25 : 75,801.75 = 75,801.75 : x
  2. Step 2: Convert to fraction form
    35,600.25/75,801.75 = 75,801.75/x
  3. Step 3: Cross multiply
    35,600.25x = 75,801.75 × 75,801.75
  4. Step 4: Simplify right side
    35,600.25x = 5,745,905,303.06
  5. Step 5: Solve for x
    x = 5,745,905,303.06/35,600.25
  6. Step 6: Final answer
    x = 161,400.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.