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Finding the Third Proportional to 49,614 and 74,868

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Solution

The third proportional to 49,614 and 74,868 is: 112,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,614 : 74,868 = 74,868 : x
  2. Step 2: Convert to fraction form
    49,614/74,868 = 74,868/x
  3. Step 3: Cross multiply
    49,614x = 74,868 × 74,868
  4. Step 4: Simplify right side
    49,614x = 5,605,217,424
  5. Step 5: Solve for x
    x = 5,605,217,424/49,614
  6. Step 6: Final answer
    x = 112,976.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.