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Finding the Third Proportional to 24.73 and 59.93

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Solution

The third proportional to 24.73 and 59.93 is: 145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.73 : 59.93 = 59.93 : x
  2. Step 2: Convert to fraction form
    24.73/59.93 = 59.93/x
  3. Step 3: Cross multiply
    24.73x = 59.93 × 59.93
  4. Step 4: Simplify right side
    24.73x = 3,591.10
  5. Step 5: Solve for x
    x = 3,591.10/24.73
  6. Step 6: Final answer
    x = 145.20

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.