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Finding the Third Proportional to 27,902 and 36,615

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Solution

The third proportional to 27,902 and 36,615 is: 48,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902 : 36,615 = 36,615 : x
  2. Step 2: Convert to fraction form
    27,902/36,615 = 36,615/x
  3. Step 3: Cross multiply
    27,902x = 36,615 × 36,615
  4. Step 4: Simplify right side
    27,902x = 1,340,658,225
  5. Step 5: Solve for x
    x = 1,340,658,225/27,902
  6. Step 6: Final answer
    x = 48,048.82

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.