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Finding the Third Proportional to 6,252 and 6,792

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Solution

The third proportional to 6,252 and 6,792 is: 7,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252 : 6,792 = 6,792 : x
  2. Step 2: Convert to fraction form
    6,252/6,792 = 6,792/x
  3. Step 3: Cross multiply
    6,252x = 6,792 × 6,792
  4. Step 4: Simplify right side
    6,252x = 46,131,264
  5. Step 5: Solve for x
    x = 46,131,264/6,252
  6. Step 6: Final answer
    x = 7,378.64

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.