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Finding the Third Proportional to 6,473 and 13,711

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Solution

The third proportional to 6,473 and 13,711 is: 29,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473 : 13,711 = 13,711 : x
  2. Step 2: Convert to fraction form
    6,473/13,711 = 13,711/x
  3. Step 3: Cross multiply
    6,473x = 13,711 × 13,711
  4. Step 4: Simplify right side
    6,473x = 187,991,521
  5. Step 5: Solve for x
    x = 187,991,521/6,473
  6. Step 6: Final answer
    x = 29,042.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.