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Finding the Third Proportional to 36,569 and 54,613

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Solution

The third proportional to 36,569 and 54,613 is: 81,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,569 : 54,613 = 54,613 : x
  2. Step 2: Convert to fraction form
    36,569/54,613 = 54,613/x
  3. Step 3: Cross multiply
    36,569x = 54,613 × 54,613
  4. Step 4: Simplify right side
    36,569x = 2,982,579,769
  5. Step 5: Solve for x
    x = 2,982,579,769/36,569
  6. Step 6: Final answer
    x = 81,560.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.