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Finding the Third Proportional to 24,658.50 and 38,631

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Solution

The third proportional to 24,658.50 and 38,631 is: 60,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658.50 : 38,631 = 38,631 : x
  2. Step 2: Convert to fraction form
    24,658.50/38,631 = 38,631/x
  3. Step 3: Cross multiply
    24,658.50x = 38,631 × 38,631
  4. Step 4: Simplify right side
    24,658.50x = 1,492,354,161
  5. Step 5: Solve for x
    x = 1,492,354,161/24,658.50
  6. Step 6: Final answer
    x = 60,520.88

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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.