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Finding the Third Proportional to 15,121.69 and 23,978.53

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Solution

The third proportional to 15,121.69 and 23,978.53 is: 38,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,121.69 : 23,978.53 = 23,978.53 : x
  2. Step 2: Convert to fraction form
    15,121.69/23,978.53 = 23,978.53/x
  3. Step 3: Cross multiply
    15,121.69x = 23,978.53 × 23,978.53
  4. Step 4: Simplify right side
    15,121.69x = 574,969,960.91
  5. Step 5: Solve for x
    x = 574,969,960.91/15,121.69
  6. Step 6: Final answer
    x = 38,022.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.