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Finding the Third Proportional to 5,192 and 6,748

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Solution

The third proportional to 5,192 and 6,748 is: 8,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 6,748 = 6,748 : x
  2. Step 2: Convert to fraction form
    5,192/6,748 = 6,748/x
  3. Step 3: Cross multiply
    5,192x = 6,748 × 6,748
  4. Step 4: Simplify right side
    5,192x = 45,535,504
  5. Step 5: Solve for x
    x = 45,535,504/5,192
  6. Step 6: Final answer
    x = 8,770.32

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.