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Finding the Third Proportional to 41,040 and 61,290

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Solution

The third proportional to 41,040 and 61,290 is: 91,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,040 : 61,290 = 61,290 : x
  2. Step 2: Convert to fraction form
    41,040/61,290 = 61,290/x
  3. Step 3: Cross multiply
    41,040x = 61,290 × 61,290
  4. Step 4: Simplify right side
    41,040x = 3,756,464,100
  5. Step 5: Solve for x
    x = 3,756,464,100/41,040
  6. Step 6: Final answer
    x = 91,531.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.