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Finding the Third Proportional to 29,919.38 and 38,819.25

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Solution

The third proportional to 29,919.38 and 38,819.25 is: 50,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,919.38 : 38,819.25 = 38,819.25 : x
  2. Step 2: Convert to fraction form
    29,919.38/38,819.25 = 38,819.25/x
  3. Step 3: Cross multiply
    29,919.38x = 38,819.25 × 38,819.25
  4. Step 4: Simplify right side
    29,919.38x = 1,506,934,170.56
  5. Step 5: Solve for x
    x = 1,506,934,170.56/29,919.38
  6. Step 6: Final answer
    x = 50,366.50

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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.