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Finding the Third Proportional to 16,084 and 24,741

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Solution

The third proportional to 16,084 and 24,741 is: 38,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084 : 24,741 = 24,741 : x
  2. Step 2: Convert to fraction form
    16,084/24,741 = 24,741/x
  3. Step 3: Cross multiply
    16,084x = 24,741 × 24,741
  4. Step 4: Simplify right side
    16,084x = 612,117,081
  5. Step 5: Solve for x
    x = 612,117,081/16,084
  6. Step 6: Final answer
    x = 38,057.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.