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Finding the Third Proportional to 16,744 and 28,518

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Solution

The third proportional to 16,744 and 28,518 is: 48,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744 : 28,518 = 28,518 : x
  2. Step 2: Convert to fraction form
    16,744/28,518 = 28,518/x
  3. Step 3: Cross multiply
    16,744x = 28,518 × 28,518
  4. Step 4: Simplify right side
    16,744x = 813,276,324
  5. Step 5: Solve for x
    x = 813,276,324/16,744
  6. Step 6: Final answer
    x = 48,571.21

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.