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Finding the Third Proportional to 41,715 and 63,605.25

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Solution

The third proportional to 41,715 and 63,605.25 is: 96,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,715 : 63,605.25 = 63,605.25 : x
  2. Step 2: Convert to fraction form
    41,715/63,605.25 = 63,605.25/x
  3. Step 3: Cross multiply
    41,715x = 63,605.25 × 63,605.25
  4. Step 4: Simplify right side
    41,715x = 4,045,627,827.56
  5. Step 5: Solve for x
    x = 4,045,627,827.56/41,715
  6. Step 6: Final answer
    x = 96,982.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.