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Finding the Third Proportional to 16,760 and 36,320

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Solution

The third proportional to 16,760 and 36,320 is: 78,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760 : 36,320 = 36,320 : x
  2. Step 2: Convert to fraction form
    16,760/36,320 = 36,320/x
  3. Step 3: Cross multiply
    16,760x = 36,320 × 36,320
  4. Step 4: Simplify right side
    16,760x = 1,319,142,400
  5. Step 5: Solve for x
    x = 1,319,142,400/16,760
  6. Step 6: Final answer
    x = 78,707.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.