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Finding the Third Proportional to 40,991 and 61,775

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Solution

The third proportional to 40,991 and 61,775 is: 93,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,991 : 61,775 = 61,775 : x
  2. Step 2: Convert to fraction form
    40,991/61,775 = 61,775/x
  3. Step 3: Cross multiply
    40,991x = 61,775 × 61,775
  4. Step 4: Simplify right side
    40,991x = 3,816,150,625
  5. Step 5: Solve for x
    x = 3,816,150,625/40,991
  6. Step 6: Final answer
    x = 93,097.28

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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.