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Finding the Third Proportional to 27.13 and 29.75

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Solution

The third proportional to 27.13 and 29.75 is: 32.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.13 : 29.75 = 29.75 : x
  2. Step 2: Convert to fraction form
    27.13/29.75 = 29.75/x
  3. Step 3: Cross multiply
    27.13x = 29.75 × 29.75
  4. Step 4: Simplify right side
    27.13x = 885.06
  5. Step 5: Solve for x
    x = 885.06/27.13
  6. Step 6: Final answer
    x = 32.63

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.