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Finding the Third Proportional to 27.10 and 40.98

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Solution

The third proportional to 27.10 and 40.98 is: 61.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.10 : 40.98 = 40.98 : x
  2. Step 2: Convert to fraction form
    27.10/40.98 = 40.98/x
  3. Step 3: Cross multiply
    27.10x = 40.98 × 40.98
  4. Step 4: Simplify right side
    27.10x = 1,679.32
  5. Step 5: Solve for x
    x = 1,679.32/27.10
  6. Step 6: Final answer
    x = 61.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.