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Finding the Third Proportional to 40,302 and 60,399

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Solution

The third proportional to 40,302 and 60,399 is: 90,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,302 : 60,399 = 60,399 : x
  2. Step 2: Convert to fraction form
    40,302/60,399 = 60,399/x
  3. Step 3: Cross multiply
    40,302x = 60,399 × 60,399
  4. Step 4: Simplify right side
    40,302x = 3,648,039,201
  5. Step 5: Solve for x
    x = 3,648,039,201/40,302
  6. Step 6: Final answer
    x = 90,517.57

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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.