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Finding the Third Proportional to 41,130 and 62,201.25

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Solution

The third proportional to 41,130 and 62,201.25 is: 94,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,130 : 62,201.25 = 62,201.25 : x
  2. Step 2: Convert to fraction form
    41,130/62,201.25 = 62,201.25/x
  3. Step 3: Cross multiply
    41,130x = 62,201.25 × 62,201.25
  4. Step 4: Simplify right side
    41,130x = 3,868,995,501.56
  5. Step 5: Solve for x
    x = 3,868,995,501.56/41,130
  6. Step 6: Final answer
    x = 94,067.48

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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.