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Finding the Third Proportional to 41,380 and 54,726

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Solution

The third proportional to 41,380 and 54,726 is: 72,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,380 : 54,726 = 54,726 : x
  2. Step 2: Convert to fraction form
    41,380/54,726 = 54,726/x
  3. Step 3: Cross multiply
    41,380x = 54,726 × 54,726
  4. Step 4: Simplify right side
    41,380x = 2,994,935,076
  5. Step 5: Solve for x
    x = 2,994,935,076/41,380
  6. Step 6: Final answer
    x = 72,376.39

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.