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Finding the Third Proportional to 27.05 and 42.48

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Solution

The third proportional to 27.05 and 42.48 is: 66.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.05 : 42.48 = 42.48 : x
  2. Step 2: Convert to fraction form
    27.05/42.48 = 42.48/x
  3. Step 3: Cross multiply
    27.05x = 42.48 × 42.48
  4. Step 4: Simplify right side
    27.05x = 1,804.34
  5. Step 5: Solve for x
    x = 1,804.34/27.05
  6. Step 6: Final answer
    x = 66.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.