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Finding the Third Proportional to 28,800 and 38,276

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Solution

The third proportional to 28,800 and 38,276 is: 50,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,800 : 38,276 = 38,276 : x
  2. Step 2: Convert to fraction form
    28,800/38,276 = 38,276/x
  3. Step 3: Cross multiply
    28,800x = 38,276 × 38,276
  4. Step 4: Simplify right side
    28,800x = 1,465,052,176
  5. Step 5: Solve for x
    x = 1,465,052,176/28,800
  6. Step 6: Final answer
    x = 50,869.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.