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Finding the Third Proportional to 5,902 and 6,517

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Solution

The third proportional to 5,902 and 6,517 is: 7,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902 : 6,517 = 6,517 : x
  2. Step 2: Convert to fraction form
    5,902/6,517 = 6,517/x
  3. Step 3: Cross multiply
    5,902x = 6,517 × 6,517
  4. Step 4: Simplify right side
    5,902x = 42,471,289
  5. Step 5: Solve for x
    x = 42,471,289/5,902
  6. Step 6: Final answer
    x = 7,196.08

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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.