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Finding the Third Proportional to 27,822 and 60,099

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Solution

The third proportional to 27,822 and 60,099 is: 129,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822 : 60,099 = 60,099 : x
  2. Step 2: Convert to fraction form
    27,822/60,099 = 60,099/x
  3. Step 3: Cross multiply
    27,822x = 60,099 × 60,099
  4. Step 4: Simplify right side
    27,822x = 3,611,889,801
  5. Step 5: Solve for x
    x = 3,611,889,801/27,822
  6. Step 6: Final answer
    x = 129,821.36

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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.