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Finding the Third Proportional to 15,414.25 and 23,079.13

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Solution

The third proportional to 15,414.25 and 23,079.13 is: 34,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414.25 : 23,079.13 = 23,079.13 : x
  2. Step 2: Convert to fraction form
    15,414.25/23,079.13 = 23,079.13/x
  3. Step 3: Cross multiply
    15,414.25x = 23,079.13 × 23,079.13
  4. Step 4: Simplify right side
    15,414.25x = 532,646,010.77
  5. Step 5: Solve for x
    x = 532,646,010.77/15,414.25
  6. Step 6: Final answer
    x = 34,555.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.