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Finding the Third Proportional to 7,729.97 and 16,553.16

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Solution

The third proportional to 7,729.97 and 16,553.16 is: 35,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.97 : 16,553.16 = 16,553.16 : x
  2. Step 2: Convert to fraction form
    7,729.97/16,553.16 = 16,553.16/x
  3. Step 3: Cross multiply
    7,729.97x = 16,553.16 × 16,553.16
  4. Step 4: Simplify right side
    7,729.97x = 274,006,981.84
  5. Step 5: Solve for x
    x = 274,006,981.84/7,729.97
  6. Step 6: Final answer
    x = 35,447.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.