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Finding the Third Proportional to 38,045 and 81,366

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Solution

The third proportional to 38,045 and 81,366 is: 174,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,045 : 81,366 = 81,366 : x
  2. Step 2: Convert to fraction form
    38,045/81,366 = 81,366/x
  3. Step 3: Cross multiply
    38,045x = 81,366 × 81,366
  4. Step 4: Simplify right side
    38,045x = 6,620,425,956
  5. Step 5: Solve for x
    x = 6,620,425,956/38,045
  6. Step 6: Final answer
    x = 174,015.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.