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Finding the Third Proportional to 37,000.13 and 80,227.13

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Solution

The third proportional to 37,000.13 and 80,227.13 is: 173,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,000.13 : 80,227.13 = 80,227.13 : x
  2. Step 2: Convert to fraction form
    37,000.13/80,227.13 = 80,227.13/x
  3. Step 3: Cross multiply
    37,000.13x = 80,227.13 × 80,227.13
  4. Step 4: Simplify right side
    37,000.13x = 6,436,391,585.77
  5. Step 5: Solve for x
    x = 6,436,391,585.77/37,000.13
  6. Step 6: Final answer
    x = 173,955.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.