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Finding the Third Proportional to 48,238.50 and 72,267

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Solution

The third proportional to 48,238.50 and 72,267 is: 108,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,238.50 : 72,267 = 72,267 : x
  2. Step 2: Convert to fraction form
    48,238.50/72,267 = 72,267/x
  3. Step 3: Cross multiply
    48,238.50x = 72,267 × 72,267
  4. Step 4: Simplify right side
    48,238.50x = 5,222,519,289
  5. Step 5: Solve for x
    x = 5,222,519,289/48,238.50
  6. Step 6: Final answer
    x = 108,264.55

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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.