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Finding the Third Proportional to 40,182 and 62,220

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Solution

The third proportional to 40,182 and 62,220 is: 96,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,182 : 62,220 = 62,220 : x
  2. Step 2: Convert to fraction form
    40,182/62,220 = 62,220/x
  3. Step 3: Cross multiply
    40,182x = 62,220 × 62,220
  4. Step 4: Simplify right side
    40,182x = 3,871,328,400
  5. Step 5: Solve for x
    x = 3,871,328,400/40,182
  6. Step 6: Final answer
    x = 96,344.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.