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Finding the Third Proportional to 41,806 and 64,760

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Solution

The third proportional to 41,806 and 64,760 is: 100,317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,806 : 64,760 = 64,760 : x
  2. Step 2: Convert to fraction form
    41,806/64,760 = 64,760/x
  3. Step 3: Cross multiply
    41,806x = 64,760 × 64,760
  4. Step 4: Simplify right side
    41,806x = 4,193,857,600
  5. Step 5: Solve for x
    x = 4,193,857,600/41,806
  6. Step 6: Final answer
    x = 100,317.12

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