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Finding the Third Proportional to 27,722 and 59,899

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Solution

The third proportional to 27,722 and 59,899 is: 129,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722 : 59,899 = 59,899 : x
  2. Step 2: Convert to fraction form
    27,722/59,899 = 59,899/x
  3. Step 3: Cross multiply
    27,722x = 59,899 × 59,899
  4. Step 4: Simplify right side
    27,722x = 3,587,890,201
  5. Step 5: Solve for x
    x = 3,587,890,201/27,722
  6. Step 6: Final answer
    x = 129,423.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.