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Finding the Third Proportional to 24,540 and 38,214

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Solution

The third proportional to 24,540 and 38,214 is: 59,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,540 : 38,214 = 38,214 : x
  2. Step 2: Convert to fraction form
    24,540/38,214 = 38,214/x
  3. Step 3: Cross multiply
    24,540x = 38,214 × 38,214
  4. Step 4: Simplify right side
    24,540x = 1,460,309,796
  5. Step 5: Solve for x
    x = 1,460,309,796/24,540
  6. Step 6: Final answer
    x = 59,507.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.