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Finding the Third Proportional to 27.25 and 58.25

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Solution

The third proportional to 27.25 and 58.25 is: 124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.25 : 58.25 = 58.25 : x
  2. Step 2: Convert to fraction form
    27.25/58.25 = 58.25/x
  3. Step 3: Cross multiply
    27.25x = 58.25 × 58.25
  4. Step 4: Simplify right side
    27.25x = 3,393.06
  5. Step 5: Solve for x
    x = 3,393.06/27.25
  6. Step 6: Final answer
    x = 124.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.