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Finding the Third Proportional to 40,228 and 61,208

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Solution

The third proportional to 40,228 and 61,208 is: 93,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,228 : 61,208 = 61,208 : x
  2. Step 2: Convert to fraction form
    40,228/61,208 = 61,208/x
  3. Step 3: Cross multiply
    40,228x = 61,208 × 61,208
  4. Step 4: Simplify right side
    40,228x = 3,746,419,264
  5. Step 5: Solve for x
    x = 3,746,419,264/40,228
  6. Step 6: Final answer
    x = 93,129.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.