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Finding the Third Proportional to 24,678 and 38,221.88

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Solution

The third proportional to 24,678 and 38,221.88 is: 59,198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678 : 38,221.88 = 38,221.88 : x
  2. Step 2: Convert to fraction form
    24,678/38,221.88 = 38,221.88/x
  3. Step 3: Cross multiply
    24,678x = 38,221.88 × 38,221.88
  4. Step 4: Simplify right side
    24,678x = 1,460,911,728.52
  5. Step 5: Solve for x
    x = 1,460,911,728.52/24,678
  6. Step 6: Final answer
    x = 59,198.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.