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Finding the Third Proportional to 13,904.44 and 20,332.69

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Solution

The third proportional to 13,904.44 and 20,332.69 is: 29,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904.44 : 20,332.69 = 20,332.69 : x
  2. Step 2: Convert to fraction form
    13,904.44/20,332.69 = 20,332.69/x
  3. Step 3: Cross multiply
    13,904.44x = 20,332.69 × 20,332.69
  4. Step 4: Simplify right side
    13,904.44x = 413,418,180.97
  5. Step 5: Solve for x
    x = 413,418,180.97/13,904.44
  6. Step 6: Final answer
    x = 29,732.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.