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Finding the Third Proportional to 27,268.50 and 36,831

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Solution

The third proportional to 27,268.50 and 36,831 is: 49,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,268.50 : 36,831 = 36,831 : x
  2. Step 2: Convert to fraction form
    27,268.50/36,831 = 36,831/x
  3. Step 3: Cross multiply
    27,268.50x = 36,831 × 36,831
  4. Step 4: Simplify right side
    27,268.50x = 1,356,522,561
  5. Step 5: Solve for x
    x = 1,356,522,561/27,268.50
  6. Step 6: Final answer
    x = 49,746.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.