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Finding the Third Proportional to 23,078.25 and 36,051.75

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Solution

The third proportional to 23,078.25 and 36,051.75 is: 56,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,078.25 : 36,051.75 = 36,051.75 : x
  2. Step 2: Convert to fraction form
    23,078.25/36,051.75 = 36,051.75/x
  3. Step 3: Cross multiply
    23,078.25x = 36,051.75 × 36,051.75
  4. Step 4: Simplify right side
    23,078.25x = 1,299,728,678.06
  5. Step 5: Solve for x
    x = 1,299,728,678.06/23,078.25
  6. Step 6: Final answer
    x = 56,318.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.