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Finding the Third Proportional to 27,569 and 59,722

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Solution

The third proportional to 27,569 and 59,722 is: 129,374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569 : 59,722 = 59,722 : x
  2. Step 2: Convert to fraction form
    27,569/59,722 = 59,722/x
  3. Step 3: Cross multiply
    27,569x = 59,722 × 59,722
  4. Step 4: Simplify right side
    27,569x = 3,566,717,284
  5. Step 5: Solve for x
    x = 3,566,717,284/27,569
  6. Step 6: Final answer
    x = 129,374.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.