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Finding the Third Proportional to 27.30 and 72.76

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Solution

The third proportional to 27.30 and 72.76 is: 193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.30 : 72.76 = 72.76 : x
  2. Step 2: Convert to fraction form
    27.30/72.76 = 72.76/x
  3. Step 3: Cross multiply
    27.30x = 72.76 × 72.76
  4. Step 4: Simplify right side
    27.30x = 5,294.27
  5. Step 5: Solve for x
    x = 5,294.27/27.30
  6. Step 6: Final answer
    x = 193.90

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.