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Finding the Third Proportional to 29,448 and 38,214

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Solution

The third proportional to 29,448 and 38,214 is: 49,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,448 : 38,214 = 38,214 : x
  2. Step 2: Convert to fraction form
    29,448/38,214 = 38,214/x
  3. Step 3: Cross multiply
    29,448x = 38,214 × 38,214
  4. Step 4: Simplify right side
    29,448x = 1,460,309,796
  5. Step 5: Solve for x
    x = 1,460,309,796/29,448
  6. Step 6: Final answer
    x = 49,589.44

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.