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Finding the Third Proportional to 14,149.50 and 38,478.75

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Solution

The third proportional to 14,149.50 and 38,478.75 is: 104,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.50 : 38,478.75 = 38,478.75 : x
  2. Step 2: Convert to fraction form
    14,149.50/38,478.75 = 38,478.75/x
  3. Step 3: Cross multiply
    14,149.50x = 38,478.75 × 38,478.75
  4. Step 4: Simplify right side
    14,149.50x = 1,480,614,201.56
  5. Step 5: Solve for x
    x = 1,480,614,201.56/14,149.50
  6. Step 6: Final answer
    x = 104,640.74

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These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.