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Finding the Third Proportional to 27.19 and 39.56

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Solution

The third proportional to 27.19 and 39.56 is: 57.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.19 : 39.56 = 39.56 : x
  2. Step 2: Convert to fraction form
    27.19/39.56 = 39.56/x
  3. Step 3: Cross multiply
    27.19x = 39.56 × 39.56
  4. Step 4: Simplify right side
    27.19x = 1,565.19
  5. Step 5: Solve for x
    x = 1,565.19/27.19
  6. Step 6: Final answer
    x = 57.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.