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Finding the Third Proportional to 27.80 and 36.54

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Solution

The third proportional to 27.80 and 36.54 is: 48.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.80 : 36.54 = 36.54 : x
  2. Step 2: Convert to fraction form
    27.80/36.54 = 36.54/x
  3. Step 3: Cross multiply
    27.80x = 36.54 × 36.54
  4. Step 4: Simplify right side
    27.80x = 1,335.10
  5. Step 5: Solve for x
    x = 1,335.10/27.80
  6. Step 6: Final answer
    x = 48.03

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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.