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Finding the Third Proportional to 6,477 and 11,514

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Solution

The third proportional to 6,477 and 11,514 is: 20,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477 : 11,514 = 11,514 : x
  2. Step 2: Convert to fraction form
    6,477/11,514 = 11,514/x
  3. Step 3: Cross multiply
    6,477x = 11,514 × 11,514
  4. Step 4: Simplify right side
    6,477x = 132,572,196
  5. Step 5: Solve for x
    x = 132,572,196/6,477
  6. Step 6: Final answer
    x = 20,468.15

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.