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Finding the Third Proportional to 49,876 and 74,935

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Solution

The third proportional to 49,876 and 74,935 is: 112,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,876 : 74,935 = 74,935 : x
  2. Step 2: Convert to fraction form
    49,876/74,935 = 74,935/x
  3. Step 3: Cross multiply
    49,876x = 74,935 × 74,935
  4. Step 4: Simplify right side
    49,876x = 5,615,254,225
  5. Step 5: Solve for x
    x = 5,615,254,225/49,876
  6. Step 6: Final answer
    x = 112,584.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.