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Finding the Third Proportional to 5,676 and 8,424

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Solution

The third proportional to 5,676 and 8,424 is: 12,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676 : 8,424 = 8,424 : x
  2. Step 2: Convert to fraction form
    5,676/8,424 = 8,424/x
  3. Step 3: Cross multiply
    5,676x = 8,424 × 8,424
  4. Step 4: Simplify right side
    5,676x = 70,963,776
  5. Step 5: Solve for x
    x = 70,963,776/5,676
  6. Step 6: Final answer
    x = 12,502.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.