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Finding the Third Proportional to 16,239.50 and 24,466

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Solution

The third proportional to 16,239.50 and 24,466 is: 36,859.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239.50 : 24,466 = 24,466 : x
  2. Step 2: Convert to fraction form
    16,239.50/24,466 = 24,466/x
  3. Step 3: Cross multiply
    16,239.50x = 24,466 × 24,466
  4. Step 4: Simplify right side
    16,239.50x = 598,585,156
  5. Step 5: Solve for x
    x = 598,585,156/16,239.50
  6. Step 6: Final answer
    x = 36,859.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.