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Finding the Third Proportional to 15,150.38 and 32,288.63

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Solution

The third proportional to 15,150.38 and 32,288.63 is: 68,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,150.38 : 32,288.63 = 32,288.63 : x
  2. Step 2: Convert to fraction form
    15,150.38/32,288.63 = 32,288.63/x
  3. Step 3: Cross multiply
    15,150.38x = 32,288.63 × 32,288.63
  4. Step 4: Simplify right side
    15,150.38x = 1,042,555,304.39
  5. Step 5: Solve for x
    x = 1,042,555,304.39/15,150.38
  6. Step 6: Final answer
    x = 68,813.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.