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Finding the Third Proportional to 15,513.75 and 33,487.31

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Solution

The third proportional to 15,513.75 and 33,487.31 is: 72,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513.75 : 33,487.31 = 33,487.31 : x
  2. Step 2: Convert to fraction form
    15,513.75/33,487.31 = 33,487.31/x
  3. Step 3: Cross multiply
    15,513.75x = 33,487.31 × 33,487.31
  4. Step 4: Simplify right side
    15,513.75x = 1,121,400,098.47
  5. Step 5: Solve for x
    x = 1,121,400,098.47/15,513.75
  6. Step 6: Final answer
    x = 72,284.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.