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Finding the Third Proportional to 27.21 and 40.78

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Solution

The third proportional to 27.21 and 40.78 is: 61.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.21 : 40.78 = 40.78 : x
  2. Step 2: Convert to fraction form
    27.21/40.78 = 40.78/x
  3. Step 3: Cross multiply
    27.21x = 40.78 × 40.78
  4. Step 4: Simplify right side
    27.21x = 1,663.11
  5. Step 5: Solve for x
    x = 1,663.11/27.21
  6. Step 6: Final answer
    x = 61.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.