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Finding the Third Proportional to 40,228 and 54,206

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Solution

The third proportional to 40,228 and 54,206 is: 73,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,228 : 54,206 = 54,206 : x
  2. Step 2: Convert to fraction form
    40,228/54,206 = 54,206/x
  3. Step 3: Cross multiply
    40,228x = 54,206 × 54,206
  4. Step 4: Simplify right side
    40,228x = 2,938,290,436
  5. Step 5: Solve for x
    x = 2,938,290,436/40,228
  6. Step 6: Final answer
    x = 73,040.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.