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Finding the Third Proportional to 58.38 and 94.92

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Solution

The third proportional to 58.38 and 94.92 is: 154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.38 : 94.92 = 94.92 : x
  2. Step 2: Convert to fraction form
    58.38/94.92 = 94.92/x
  3. Step 3: Cross multiply
    58.38x = 94.92 × 94.92
  4. Step 4: Simplify right side
    58.38x = 9,010.16
  5. Step 5: Solve for x
    x = 9,010.16/58.38
  6. Step 6: Final answer
    x = 154.34

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.