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Finding the Third Proportional to 32,250.38 and 49,813.88

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Solution

The third proportional to 32,250.38 and 49,813.88 is: 76,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,250.38 : 49,813.88 = 49,813.88 : x
  2. Step 2: Convert to fraction form
    32,250.38/49,813.88 = 49,813.88/x
  3. Step 3: Cross multiply
    32,250.38x = 49,813.88 × 49,813.88
  4. Step 4: Simplify right side
    32,250.38x = 2,481,422,142.52
  5. Step 5: Solve for x
    x = 2,481,422,142.52/32,250.38
  6. Step 6: Final answer
    x = 76,942.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.