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Finding the Third Proportional to 22,662 and 34,809

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Solution

The third proportional to 22,662 and 34,809 is: 53,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662 : 34,809 = 34,809 : x
  2. Step 2: Convert to fraction form
    22,662/34,809 = 34,809/x
  3. Step 3: Cross multiply
    22,662x = 34,809 × 34,809
  4. Step 4: Simplify right side
    22,662x = 1,211,666,481
  5. Step 5: Solve for x
    x = 1,211,666,481/22,662
  6. Step 6: Final answer
    x = 53,466.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.