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Finding the Third Proportional to 16,850 and 36,649

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Solution

The third proportional to 16,850 and 36,649 is: 79,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850 : 36,649 = 36,649 : x
  2. Step 2: Convert to fraction form
    16,850/36,649 = 36,649/x
  3. Step 3: Cross multiply
    16,850x = 36,649 × 36,649
  4. Step 4: Simplify right side
    16,850x = 1,343,149,201
  5. Step 5: Solve for x
    x = 1,343,149,201/16,850
  6. Step 6: Final answer
    x = 79,712.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.