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Finding the Third Proportional to 18,406 and 24,743

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Solution

The third proportional to 18,406 and 24,743 is: 33,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406 : 24,743 = 24,743 : x
  2. Step 2: Convert to fraction form
    18,406/24,743 = 24,743/x
  3. Step 3: Cross multiply
    18,406x = 24,743 × 24,743
  4. Step 4: Simplify right side
    18,406x = 612,216,049
  5. Step 5: Solve for x
    x = 612,216,049/18,406
  6. Step 6: Final answer
    x = 33,261.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.