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Finding the Third Proportional to 41,091 and 87,477.75

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Solution

The third proportional to 41,091 and 87,477.75 is: 186,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,091 : 87,477.75 = 87,477.75 : x
  2. Step 2: Convert to fraction form
    41,091/87,477.75 = 87,477.75/x
  3. Step 3: Cross multiply
    41,091x = 87,477.75 × 87,477.75
  4. Step 4: Simplify right side
    41,091x = 7,652,356,745.06
  5. Step 5: Solve for x
    x = 7,652,356,745.06/41,091
  6. Step 6: Final answer
    x = 186,229.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.