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Finding the Third Proportional to 5,677 and 8,480

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Solution

The third proportional to 5,677 and 8,480 is: 12,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677 : 8,480 = 8,480 : x
  2. Step 2: Convert to fraction form
    5,677/8,480 = 8,480/x
  3. Step 3: Cross multiply
    5,677x = 8,480 × 8,480
  4. Step 4: Simplify right side
    5,677x = 71,910,400
  5. Step 5: Solve for x
    x = 71,910,400/5,677
  6. Step 6: Final answer
    x = 12,666.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.