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Finding the Third Proportional to 8,142 and 16,715

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Solution

The third proportional to 8,142 and 16,715 is: 34,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 16,715 = 16,715 : x
  2. Step 2: Convert to fraction form
    8,142/16,715 = 16,715/x
  3. Step 3: Cross multiply
    8,142x = 16,715 × 16,715
  4. Step 4: Simplify right side
    8,142x = 279,391,225
  5. Step 5: Solve for x
    x = 279,391,225/8,142
  6. Step 6: Final answer
    x = 34,314.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.