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Finding the Third Proportional to 13,597.88 and 29,463.75

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Solution

The third proportional to 13,597.88 and 29,463.75 is: 63,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.88 : 29,463.75 = 29,463.75 : x
  2. Step 2: Convert to fraction form
    13,597.88/29,463.75 = 29,463.75/x
  3. Step 3: Cross multiply
    13,597.88x = 29,463.75 × 29,463.75
  4. Step 4: Simplify right side
    13,597.88x = 868,112,564.06
  5. Step 5: Solve for x
    x = 868,112,564.06/13,597.88
  6. Step 6: Final answer
    x = 63,841.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.