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Finding the Third Proportional to 10,540.13 and 16,072.17

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Solution

The third proportional to 10,540.13 and 16,072.17 is: 24,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.13 : 16,072.17 = 16,072.17 : x
  2. Step 2: Convert to fraction form
    10,540.13/16,072.17 = 16,072.17/x
  3. Step 3: Cross multiply
    10,540.13x = 16,072.17 × 16,072.17
  4. Step 4: Simplify right side
    10,540.13x = 258,314,708.78
  5. Step 5: Solve for x
    x = 258,314,708.78/10,540.13
  6. Step 6: Final answer
    x = 24,507.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.