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Finding the Third Proportional to 39,063.50 and 54,251

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Solution

The third proportional to 39,063.50 and 54,251 is: 75,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,063.50 : 54,251 = 54,251 : x
  2. Step 2: Convert to fraction form
    39,063.50/54,251 = 54,251/x
  3. Step 3: Cross multiply
    39,063.50x = 54,251 × 54,251
  4. Step 4: Simplify right side
    39,063.50x = 2,943,171,001
  5. Step 5: Solve for x
    x = 2,943,171,001/39,063.50
  6. Step 6: Final answer
    x = 75,343.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.