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Finding the Third Proportional to 27.06 and 63.16

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Solution

The third proportional to 27.06 and 63.16 is: 147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.06 : 63.16 = 63.16 : x
  2. Step 2: Convert to fraction form
    27.06/63.16 = 63.16/x
  3. Step 3: Cross multiply
    27.06x = 63.16 × 63.16
  4. Step 4: Simplify right side
    27.06x = 3,988.71
  5. Step 5: Solve for x
    x = 3,988.71/27.06
  6. Step 6: Final answer
    x = 147.39

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.