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Finding the Third Proportional to 41,114 and 61,851

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Solution

The third proportional to 41,114 and 61,851 is: 93,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,114 : 61,851 = 61,851 : x
  2. Step 2: Convert to fraction form
    41,114/61,851 = 61,851/x
  3. Step 3: Cross multiply
    41,114x = 61,851 × 61,851
  4. Step 4: Simplify right side
    41,114x = 3,825,546,201
  5. Step 5: Solve for x
    x = 3,825,546,201/41,114
  6. Step 6: Final answer
    x = 93,047.29

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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.