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Finding the Third Proportional to 40,517 and 87,514

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Solution

The third proportional to 40,517 and 87,514 is: 189,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,517 : 87,514 = 87,514 : x
  2. Step 2: Convert to fraction form
    40,517/87,514 = 87,514/x
  3. Step 3: Cross multiply
    40,517x = 87,514 × 87,514
  4. Step 4: Simplify right side
    40,517x = 7,658,700,196
  5. Step 5: Solve for x
    x = 7,658,700,196/40,517
  6. Step 6: Final answer
    x = 189,024.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.