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Finding the Third Proportional to 5,640 and 8,478

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Solution

The third proportional to 5,640 and 8,478 is: 12,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640 : 8,478 = 8,478 : x
  2. Step 2: Convert to fraction form
    5,640/8,478 = 8,478/x
  3. Step 3: Cross multiply
    5,640x = 8,478 × 8,478
  4. Step 4: Simplify right side
    5,640x = 71,876,484
  5. Step 5: Solve for x
    x = 71,876,484/5,640
  6. Step 6: Final answer
    x = 12,744.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.