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Finding the Third Proportional to 6,734 and 7,438

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Solution

The third proportional to 6,734 and 7,438 is: 8,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734 : 7,438 = 7,438 : x
  2. Step 2: Convert to fraction form
    6,734/7,438 = 7,438/x
  3. Step 3: Cross multiply
    6,734x = 7,438 × 7,438
  4. Step 4: Simplify right side
    6,734x = 55,323,844
  5. Step 5: Solve for x
    x = 55,323,844/6,734
  6. Step 6: Final answer
    x = 8,215.60

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.