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Finding the Third Proportional to 40,350 and 60,222

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Solution

The third proportional to 40,350 and 60,222 is: 89,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,350 : 60,222 = 60,222 : x
  2. Step 2: Convert to fraction form
    40,350/60,222 = 60,222/x
  3. Step 3: Cross multiply
    40,350x = 60,222 × 60,222
  4. Step 4: Simplify right side
    40,350x = 3,626,689,284
  5. Step 5: Solve for x
    x = 3,626,689,284/40,350
  6. Step 6: Final answer
    x = 89,880.78

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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.