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Finding the Third Proportional to 29,182.50 and 60,876

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Solution

The third proportional to 29,182.50 and 60,876 is: 126,990.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,182.50 : 60,876 = 60,876 : x
  2. Step 2: Convert to fraction form
    29,182.50/60,876 = 60,876/x
  3. Step 3: Cross multiply
    29,182.50x = 60,876 × 60,876
  4. Step 4: Simplify right side
    29,182.50x = 3,705,887,376
  5. Step 5: Solve for x
    x = 3,705,887,376/29,182.50
  6. Step 6: Final answer
    x = 126,990.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.