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Finding the Third Proportional to 28,950 and 38,721

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Solution

The third proportional to 28,950 and 38,721 is: 51,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,950 : 38,721 = 38,721 : x
  2. Step 2: Convert to fraction form
    28,950/38,721 = 38,721/x
  3. Step 3: Cross multiply
    28,950x = 38,721 × 38,721
  4. Step 4: Simplify right side
    28,950x = 1,499,315,841
  5. Step 5: Solve for x
    x = 1,499,315,841/28,950
  6. Step 6: Final answer
    x = 51,789.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.