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Finding the Third Proportional to 15,400.13 and 24,122.81

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Solution

The third proportional to 15,400.13 and 24,122.81 is: 37,786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400.13 : 24,122.81 = 24,122.81 : x
  2. Step 2: Convert to fraction form
    15,400.13/24,122.81 = 24,122.81/x
  3. Step 3: Cross multiply
    15,400.13x = 24,122.81 × 24,122.81
  4. Step 4: Simplify right side
    15,400.13x = 581,910,082.91
  5. Step 5: Solve for x
    x = 581,910,082.91/15,400.13
  6. Step 6: Final answer
    x = 37,786.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.