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Finding the Third Proportional to 41,715 and 60,345

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Solution

The third proportional to 41,715 and 60,345 is: 87,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,715 : 60,345 = 60,345 : x
  2. Step 2: Convert to fraction form
    41,715/60,345 = 60,345/x
  3. Step 3: Cross multiply
    41,715x = 60,345 × 60,345
  4. Step 4: Simplify right side
    41,715x = 3,641,519,025
  5. Step 5: Solve for x
    x = 3,641,519,025/41,715
  6. Step 6: Final answer
    x = 87,295.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.