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Finding the Third Proportional to 5,462 and 8,473

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Solution

The third proportional to 5,462 and 8,473 is: 13,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462 : 8,473 = 8,473 : x
  2. Step 2: Convert to fraction form
    5,462/8,473 = 8,473/x
  3. Step 3: Cross multiply
    5,462x = 8,473 × 8,473
  4. Step 4: Simplify right side
    5,462x = 71,791,729
  5. Step 5: Solve for x
    x = 71,791,729/5,462
  6. Step 6: Final answer
    x = 13,143.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.