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Finding the Third Proportional to 28,808 and 38,288

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Solution

The third proportional to 28,808 and 38,288 is: 50,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,808 : 38,288 = 38,288 : x
  2. Step 2: Convert to fraction form
    28,808/38,288 = 38,288/x
  3. Step 3: Cross multiply
    28,808x = 38,288 × 38,288
  4. Step 4: Simplify right side
    28,808x = 1,465,970,944
  5. Step 5: Solve for x
    x = 1,465,970,944/28,808
  6. Step 6: Final answer
    x = 50,887.63

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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.