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Finding the Third Proportional to 27.89 and 42.92

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Solution

The third proportional to 27.89 and 42.92 is: 66.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.89 : 42.92 = 42.92 : x
  2. Step 2: Convert to fraction form
    27.89/42.92 = 42.92/x
  3. Step 3: Cross multiply
    27.89x = 42.92 × 42.92
  4. Step 4: Simplify right side
    27.89x = 1,842.29
  5. Step 5: Solve for x
    x = 1,842.29/27.89
  6. Step 6: Final answer
    x = 66.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.