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Finding the Third Proportional to 29,812 and 61,514

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Solution

The third proportional to 29,812 and 61,514 is: 126,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,812 : 61,514 = 61,514 : x
  2. Step 2: Convert to fraction form
    29,812/61,514 = 61,514/x
  3. Step 3: Cross multiply
    29,812x = 61,514 × 61,514
  4. Step 4: Simplify right side
    29,812x = 3,783,972,196
  5. Step 5: Solve for x
    x = 3,783,972,196/29,812
  6. Step 6: Final answer
    x = 126,927.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.