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Finding the Third Proportional to 10,711.13 and 25,021.69

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Solution

The third proportional to 10,711.13 and 25,021.69 is: 58,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.13 : 25,021.69 = 25,021.69 : x
  2. Step 2: Convert to fraction form
    10,711.13/25,021.69 = 25,021.69/x
  3. Step 3: Cross multiply
    10,711.13x = 25,021.69 × 25,021.69
  4. Step 4: Simplify right side
    10,711.13x = 626,084,845.35
  5. Step 5: Solve for x
    x = 626,084,845.35/10,711.13
  6. Step 6: Final answer
    x = 58,451.83

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.