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Finding the Third Proportional to 37,143 and 55,891.50

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Solution

The third proportional to 37,143 and 55,891.50 is: 84,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,143 : 55,891.50 = 55,891.50 : x
  2. Step 2: Convert to fraction form
    37,143/55,891.50 = 55,891.50/x
  3. Step 3: Cross multiply
    37,143x = 55,891.50 × 55,891.50
  4. Step 4: Simplify right side
    37,143x = 3,123,859,772.25
  5. Step 5: Solve for x
    x = 3,123,859,772.25/37,143
  6. Step 6: Final answer
    x = 84,103.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.