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Finding the Third Proportional to 6,371 and 7,298

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Solution

The third proportional to 6,371 and 7,298 is: 8,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371 : 7,298 = 7,298 : x
  2. Step 2: Convert to fraction form
    6,371/7,298 = 7,298/x
  3. Step 3: Cross multiply
    6,371x = 7,298 × 7,298
  4. Step 4: Simplify right side
    6,371x = 53,260,804
  5. Step 5: Solve for x
    x = 53,260,804/6,371
  6. Step 6: Final answer
    x = 8,359.88

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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.