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Finding the Third Proportional to 46.38 and 60.06

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Solution

The third proportional to 46.38 and 60.06 is: 77.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.38 : 60.06 = 60.06 : x
  2. Step 2: Convert to fraction form
    46.38/60.06 = 60.06/x
  3. Step 3: Cross multiply
    46.38x = 60.06 × 60.06
  4. Step 4: Simplify right side
    46.38x = 3,607.50
  5. Step 5: Solve for x
    x = 3,607.50/46.38
  6. Step 6: Final answer
    x = 77.79

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.