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Finding the Third Proportional to 23,778 and 48,996

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Solution

The third proportional to 23,778 and 48,996 is: 100,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778 : 48,996 = 48,996 : x
  2. Step 2: Convert to fraction form
    23,778/48,996 = 48,996/x
  3. Step 3: Cross multiply
    23,778x = 48,996 × 48,996
  4. Step 4: Simplify right side
    23,778x = 2,400,608,016
  5. Step 5: Solve for x
    x = 2,400,608,016/23,778
  6. Step 6: Final answer
    x = 100,959.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.