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Finding the Third Proportional to 28,986 and 38,287

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Solution

The third proportional to 28,986 and 38,287 is: 50,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,986 : 38,287 = 38,287 : x
  2. Step 2: Convert to fraction form
    28,986/38,287 = 38,287/x
  3. Step 3: Cross multiply
    28,986x = 38,287 × 38,287
  4. Step 4: Simplify right side
    28,986x = 1,465,894,369
  5. Step 5: Solve for x
    x = 1,465,894,369/28,986
  6. Step 6: Final answer
    x = 50,572.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.