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Finding the Third Proportional to 7,057 and 16,493

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Solution

The third proportional to 7,057 and 16,493 is: 38,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057 : 16,493 = 16,493 : x
  2. Step 2: Convert to fraction form
    7,057/16,493 = 16,493/x
  3. Step 3: Cross multiply
    7,057x = 16,493 × 16,493
  4. Step 4: Simplify right side
    7,057x = 272,019,049
  5. Step 5: Solve for x
    x = 272,019,049/7,057
  6. Step 6: Final answer
    x = 38,545.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.