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Finding the Third Proportional to 27,254 and 38,649

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Solution

The third proportional to 27,254 and 38,649 is: 54,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,254 : 38,649 = 38,649 : x
  2. Step 2: Convert to fraction form
    27,254/38,649 = 38,649/x
  3. Step 3: Cross multiply
    27,254x = 38,649 × 38,649
  4. Step 4: Simplify right side
    27,254x = 1,493,745,201
  5. Step 5: Solve for x
    x = 1,493,745,201/27,254
  6. Step 6: Final answer
    x = 54,808.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.