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Finding the Third Proportional to 16,778 and 36,166

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Solution

The third proportional to 16,778 and 36,166 is: 77,958.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,778 : 36,166 = 36,166 : x
  2. Step 2: Convert to fraction form
    16,778/36,166 = 36,166/x
  3. Step 3: Cross multiply
    16,778x = 36,166 × 36,166
  4. Step 4: Simplify right side
    16,778x = 1,307,979,556
  5. Step 5: Solve for x
    x = 1,307,979,556/16,778
  6. Step 6: Final answer
    x = 77,958.01

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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.