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Finding the Third Proportional to 24,661 and 38,644.25

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Solution

The third proportional to 24,661 and 38,644.25 is: 60,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,661 : 38,644.25 = 38,644.25 : x
  2. Step 2: Convert to fraction form
    24,661/38,644.25 = 38,644.25/x
  3. Step 3: Cross multiply
    24,661x = 38,644.25 × 38,644.25
  4. Step 4: Simplify right side
    24,661x = 1,493,378,058.06
  5. Step 5: Solve for x
    x = 1,493,378,058.06/24,661
  6. Step 6: Final answer
    x = 60,556.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.