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Finding the Third Proportional to 5,640 and 6,384

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Solution

The third proportional to 5,640 and 6,384 is: 7,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640 : 6,384 = 6,384 : x
  2. Step 2: Convert to fraction form
    5,640/6,384 = 6,384/x
  3. Step 3: Cross multiply
    5,640x = 6,384 × 6,384
  4. Step 4: Simplify right side
    5,640x = 40,755,456
  5. Step 5: Solve for x
    x = 40,755,456/5,640
  6. Step 6: Final answer
    x = 7,226.14

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.