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Finding the Third Proportional to 14,557 and 20,493

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Solution

The third proportional to 14,557 and 20,493 is: 28,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557 : 20,493 = 20,493 : x
  2. Step 2: Convert to fraction form
    14,557/20,493 = 20,493/x
  3. Step 3: Cross multiply
    14,557x = 20,493 × 20,493
  4. Step 4: Simplify right side
    14,557x = 419,963,049
  5. Step 5: Solve for x
    x = 419,963,049/14,557
  6. Step 6: Final answer
    x = 28,849.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.