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Finding the Third Proportional to 38.34 and 58.13

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Solution

The third proportional to 38.34 and 58.13 is: 88.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.34 : 58.13 = 58.13 : x
  2. Step 2: Convert to fraction form
    38.34/58.13 = 58.13/x
  3. Step 3: Cross multiply
    38.34x = 58.13 × 58.13
  4. Step 4: Simplify right side
    38.34x = 3,378.52
  5. Step 5: Solve for x
    x = 3,378.52/38.34
  6. Step 6: Final answer
    x = 88.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.