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Finding the Third Proportional to 41,264.88 and 60,724

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Solution

The third proportional to 41,264.88 and 60,724 is: 89,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,264.88 : 60,724 = 60,724 : x
  2. Step 2: Convert to fraction form
    41,264.88/60,724 = 60,724/x
  3. Step 3: Cross multiply
    41,264.88x = 60,724 × 60,724
  4. Step 4: Simplify right side
    41,264.88x = 3,687,404,176
  5. Step 5: Solve for x
    x = 3,687,404,176/41,264.88
  6. Step 6: Final answer
    x = 89,359.39

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.