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Finding the Third Proportional to 5,792 and 6,656

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Solution

The third proportional to 5,792 and 6,656 is: 7,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792 : 6,656 = 6,656 : x
  2. Step 2: Convert to fraction form
    5,792/6,656 = 6,656/x
  3. Step 3: Cross multiply
    5,792x = 6,656 × 6,656
  4. Step 4: Simplify right side
    5,792x = 44,302,336
  5. Step 5: Solve for x
    x = 44,302,336/5,792
  6. Step 6: Final answer
    x = 7,648.88

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.