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Finding the Third Proportional to 16,121.53 and 20,434.78

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Solution

The third proportional to 16,121.53 and 20,434.78 is: 25,902.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,121.53 : 20,434.78 = 20,434.78 : x
  2. Step 2: Convert to fraction form
    16,121.53/20,434.78 = 20,434.78/x
  3. Step 3: Cross multiply
    16,121.53x = 20,434.78 × 20,434.78
  4. Step 4: Simplify right side
    16,121.53x = 417,580,284.74
  5. Step 5: Solve for x
    x = 417,580,284.74/16,121.53
  6. Step 6: Final answer
    x = 25,902.02

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.