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Finding the Third Proportional to 41,535 and 54,918

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Solution

The third proportional to 41,535 and 54,918 is: 72,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,535 : 54,918 = 54,918 : x
  2. Step 2: Convert to fraction form
    41,535/54,918 = 54,918/x
  3. Step 3: Cross multiply
    41,535x = 54,918 × 54,918
  4. Step 4: Simplify right side
    41,535x = 3,015,986,724
  5. Step 5: Solve for x
    x = 3,015,986,724/41,535
  6. Step 6: Final answer
    x = 72,613.14

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.