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Finding the Third Proportional to 40,264 and 54,676

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Solution

The third proportional to 40,264 and 54,676 is: 74,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,264 : 54,676 = 54,676 : x
  2. Step 2: Convert to fraction form
    40,264/54,676 = 54,676/x
  3. Step 3: Cross multiply
    40,264x = 54,676 × 54,676
  4. Step 4: Simplify right side
    40,264x = 2,989,464,976
  5. Step 5: Solve for x
    x = 2,989,464,976/40,264
  6. Step 6: Final answer
    x = 74,246.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.