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Finding the Third Proportional to 8,382 and 16,550

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Solution

The third proportional to 8,382 and 16,550 is: 32,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382 : 16,550 = 16,550 : x
  2. Step 2: Convert to fraction form
    8,382/16,550 = 16,550/x
  3. Step 3: Cross multiply
    8,382x = 16,550 × 16,550
  4. Step 4: Simplify right side
    8,382x = 273,902,500
  5. Step 5: Solve for x
    x = 273,902,500/8,382
  6. Step 6: Final answer
    x = 32,677.46

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.