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Finding the Third Proportional to 16,770 and 36,150

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Solution

The third proportional to 16,770 and 36,150 is: 77,926.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770 : 36,150 = 36,150 : x
  2. Step 2: Convert to fraction form
    16,770/36,150 = 36,150/x
  3. Step 3: Cross multiply
    16,770x = 36,150 × 36,150
  4. Step 4: Simplify right side
    16,770x = 1,306,822,500
  5. Step 5: Solve for x
    x = 1,306,822,500/16,770
  6. Step 6: Final answer
    x = 77,926.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.