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Finding the Third Proportional to 30,778 and 41,077

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Solution

The third proportional to 30,778 and 41,077 is: 54,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778 : 41,077 = 41,077 : x
  2. Step 2: Convert to fraction form
    30,778/41,077 = 41,077/x
  3. Step 3: Cross multiply
    30,778x = 41,077 × 41,077
  4. Step 4: Simplify right side
    30,778x = 1,687,319,929
  5. Step 5: Solve for x
    x = 1,687,319,929/30,778
  6. Step 6: Final answer
    x = 54,822.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.