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Finding the Third Proportional to 16,778 and 36,184

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Solution

The third proportional to 16,778 and 36,184 is: 78,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,778 : 36,184 = 36,184 : x
  2. Step 2: Convert to fraction form
    16,778/36,184 = 36,184/x
  3. Step 3: Cross multiply
    16,778x = 36,184 × 36,184
  4. Step 4: Simplify right side
    16,778x = 1,309,281,856
  5. Step 5: Solve for x
    x = 1,309,281,856/16,778
  6. Step 6: Final answer
    x = 78,035.63

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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.