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Finding the Third Proportional to 40,228 and 60,264

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Solution

The third proportional to 40,228 and 60,264 is: 90,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,228 : 60,264 = 60,264 : x
  2. Step 2: Convert to fraction form
    40,228/60,264 = 60,264/x
  3. Step 3: Cross multiply
    40,228x = 60,264 × 60,264
  4. Step 4: Simplify right side
    40,228x = 3,631,749,696
  5. Step 5: Solve for x
    x = 3,631,749,696/40,228
  6. Step 6: Final answer
    x = 90,279.15

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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.