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Finding the Third Proportional to 11,557.69 and 25,039.13

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Solution

The third proportional to 11,557.69 and 25,039.13 is: 54,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.69 : 25,039.13 = 25,039.13 : x
  2. Step 2: Convert to fraction form
    11,557.69/25,039.13 = 25,039.13/x
  3. Step 3: Cross multiply
    11,557.69x = 25,039.13 × 25,039.13
  4. Step 4: Simplify right side
    11,557.69x = 626,957,780.77
  5. Step 5: Solve for x
    x = 626,957,780.77/11,557.69
  6. Step 6: Final answer
    x = 54,245.95

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Why These Related Problems?

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