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Finding the Third Proportional to 41,613 and 60,862

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Solution

The third proportional to 41,613 and 60,862 is: 89,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,613 : 60,862 = 60,862 : x
  2. Step 2: Convert to fraction form
    41,613/60,862 = 60,862/x
  3. Step 3: Cross multiply
    41,613x = 60,862 × 60,862
  4. Step 4: Simplify right side
    41,613x = 3,704,183,044
  5. Step 5: Solve for x
    x = 3,704,183,044/41,613
  6. Step 6: Final answer
    x = 89,015.04

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.