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Finding the Third Proportional to 26,191 and 40,587

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Solution

The third proportional to 26,191 and 40,587 is: 62,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,191 : 40,587 = 40,587 : x
  2. Step 2: Convert to fraction form
    26,191/40,587 = 40,587/x
  3. Step 3: Cross multiply
    26,191x = 40,587 × 40,587
  4. Step 4: Simplify right side
    26,191x = 1,647,304,569
  5. Step 5: Solve for x
    x = 1,647,304,569/26,191
  6. Step 6: Final answer
    x = 62,895.83

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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.