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Finding the Third Proportional to 27.21 and 58.17

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Solution

The third proportional to 27.21 and 58.17 is: 124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.21 : 58.17 = 58.17 : x
  2. Step 2: Convert to fraction form
    27.21/58.17 = 58.17/x
  3. Step 3: Cross multiply
    27.21x = 58.17 × 58.17
  4. Step 4: Simplify right side
    27.21x = 3,383.29
  5. Step 5: Solve for x
    x = 3,383.29/27.21
  6. Step 6: Final answer
    x = 124.34

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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.