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Finding the Third Proportional to 13,877 and 20,448

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Solution

The third proportional to 13,877 and 20,448 is: 30,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877 : 20,448 = 20,448 : x
  2. Step 2: Convert to fraction form
    13,877/20,448 = 20,448/x
  3. Step 3: Cross multiply
    13,877x = 20,448 × 20,448
  4. Step 4: Simplify right side
    13,877x = 418,120,704
  5. Step 5: Solve for x
    x = 418,120,704/13,877
  6. Step 6: Final answer
    x = 30,130.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.