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Finding the Third Proportional to 23,701 and 54,868

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Solution

The third proportional to 23,701 and 54,868 is: 127,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701 : 54,868 = 54,868 : x
  2. Step 2: Convert to fraction form
    23,701/54,868 = 54,868/x
  3. Step 3: Cross multiply
    23,701x = 54,868 × 54,868
  4. Step 4: Simplify right side
    23,701x = 3,010,497,424
  5. Step 5: Solve for x
    x = 3,010,497,424/23,701
  6. Step 6: Final answer
    x = 127,019.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.