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Finding the Third Proportional to 27,793.41 and 41,614.17

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Solution

The third proportional to 27,793.41 and 41,614.17 is: 62,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.41 : 41,614.17 = 41,614.17 : x
  2. Step 2: Convert to fraction form
    27,793.41/41,614.17 = 41,614.17/x
  3. Step 3: Cross multiply
    27,793.41x = 41,614.17 × 41,614.17
  4. Step 4: Simplify right side
    27,793.41x = 1,731,739,300.84
  5. Step 5: Solve for x
    x = 1,731,739,300.84/27,793.41
  6. Step 6: Final answer
    x = 62,307.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.