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Finding the Third Proportional to 6,496 and 7,171

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Solution

The third proportional to 6,496 and 7,171 is: 7,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496 : 7,171 = 7,171 : x
  2. Step 2: Convert to fraction form
    6,496/7,171 = 7,171/x
  3. Step 3: Cross multiply
    6,496x = 7,171 × 7,171
  4. Step 4: Simplify right side
    6,496x = 51,423,241
  5. Step 5: Solve for x
    x = 51,423,241/6,496
  6. Step 6: Final answer
    x = 7,916.14

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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.