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Finding the Third Proportional to 13,884.75 and 20,341.13

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Solution

The third proportional to 13,884.75 and 20,341.13 is: 29,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.75 : 20,341.13 = 20,341.13 : x
  2. Step 2: Convert to fraction form
    13,884.75/20,341.13 = 20,341.13/x
  3. Step 3: Cross multiply
    13,884.75x = 20,341.13 × 20,341.13
  4. Step 4: Simplify right side
    13,884.75x = 413,761,366.27
  5. Step 5: Solve for x
    x = 413,761,366.27/13,884.75
  6. Step 6: Final answer
    x = 29,799.70

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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.