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Finding the Third Proportional to 6,514 and 7,486

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Solution

The third proportional to 6,514 and 7,486 is: 8,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514 : 7,486 = 7,486 : x
  2. Step 2: Convert to fraction form
    6,514/7,486 = 7,486/x
  3. Step 3: Cross multiply
    6,514x = 7,486 × 7,486
  4. Step 4: Simplify right side
    6,514x = 56,040,196
  5. Step 5: Solve for x
    x = 56,040,196/6,514
  6. Step 6: Final answer
    x = 8,603.04

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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.