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Finding the Third Proportional to 11,778 and 24,933

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Solution

The third proportional to 11,778 and 24,933 is: 52,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778 : 24,933 = 24,933 : x
  2. Step 2: Convert to fraction form
    11,778/24,933 = 24,933/x
  3. Step 3: Cross multiply
    11,778x = 24,933 × 24,933
  4. Step 4: Simplify right side
    11,778x = 621,654,489
  5. Step 5: Solve for x
    x = 621,654,489/11,778
  6. Step 6: Final answer
    x = 52,780.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.