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Finding the Third Proportional to 41,066 and 63,715

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Solution

The third proportional to 41,066 and 63,715 is: 98,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,066 : 63,715 = 63,715 : x
  2. Step 2: Convert to fraction form
    41,066/63,715 = 63,715/x
  3. Step 3: Cross multiply
    41,066x = 63,715 × 63,715
  4. Step 4: Simplify right side
    41,066x = 4,059,601,225
  5. Step 5: Solve for x
    x = 4,059,601,225/41,066
  6. Step 6: Final answer
    x = 98,855.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.