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Finding the Third Proportional to 46,991 and 72,874

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Solution

The third proportional to 46,991 and 72,874 is: 113,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,991 : 72,874 = 72,874 : x
  2. Step 2: Convert to fraction form
    46,991/72,874 = 72,874/x
  3. Step 3: Cross multiply
    46,991x = 72,874 × 72,874
  4. Step 4: Simplify right side
    46,991x = 5,310,619,876
  5. Step 5: Solve for x
    x = 5,310,619,876/46,991
  6. Step 6: Final answer
    x = 113,013.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.