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Finding the Third Proportional to 5,932 and 8,424

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Solution

The third proportional to 5,932 and 8,424 is: 11,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932 : 8,424 = 8,424 : x
  2. Step 2: Convert to fraction form
    5,932/8,424 = 8,424/x
  3. Step 3: Cross multiply
    5,932x = 8,424 × 8,424
  4. Step 4: Simplify right side
    5,932x = 70,963,776
  5. Step 5: Solve for x
    x = 70,963,776/5,932
  6. Step 6: Final answer
    x = 11,962.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.