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Finding the Third Proportional to 27 and 63.07

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Solution

The third proportional to 27 and 63.07 is: 147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 63.07 = 63.07 : x
  2. Step 2: Convert to fraction form
    27/63.07 = 63.07/x
  3. Step 3: Cross multiply
    27x = 63.07 × 63.07
  4. Step 4: Simplify right side
    27x = 3,977.86
  5. Step 5: Solve for x
    x = 3,977.86/27
  6. Step 6: Final answer
    x = 147.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.