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Finding the Third Proportional to 41,482 and 62,221

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Solution

The third proportional to 41,482 and 62,221 is: 93,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,482 : 62,221 = 62,221 : x
  2. Step 2: Convert to fraction form
    41,482/62,221 = 62,221/x
  3. Step 3: Cross multiply
    41,482x = 62,221 × 62,221
  4. Step 4: Simplify right side
    41,482x = 3,871,452,841
  5. Step 5: Solve for x
    x = 3,871,452,841/41,482
  6. Step 6: Final answer
    x = 93,328.50

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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.