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Finding the Third Proportional to 10,711.62 and 23,499.49

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Solution

The third proportional to 10,711.62 and 23,499.49 is: 51,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.62 : 23,499.49 = 23,499.49 : x
  2. Step 2: Convert to fraction form
    10,711.62/23,499.49 = 23,499.49/x
  3. Step 3: Cross multiply
    10,711.62x = 23,499.49 × 23,499.49
  4. Step 4: Simplify right side
    10,711.62x = 552,226,133.07
  5. Step 5: Solve for x
    x = 552,226,133.07/10,711.62
  6. Step 6: Final answer
    x = 51,553.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.