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Finding the Third Proportional to 16,412.53 and 24,814.55

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Solution

The third proportional to 16,412.53 and 24,814.55 is: 37,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.53 : 24,814.55 = 24,814.55 : x
  2. Step 2: Convert to fraction form
    16,412.53/24,814.55 = 24,814.55/x
  3. Step 3: Cross multiply
    16,412.53x = 24,814.55 × 24,814.55
  4. Step 4: Simplify right side
    16,412.53x = 615,761,736.61
  5. Step 5: Solve for x
    x = 615,761,736.61/16,412.53
  6. Step 6: Final answer
    x = 37,517.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.