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Finding the Third Proportional to 48.98 and 71.73

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Solution

The third proportional to 48.98 and 71.73 is: 105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.98 : 71.73 = 71.73 : x
  2. Step 2: Convert to fraction form
    48.98/71.73 = 71.73/x
  3. Step 3: Cross multiply
    48.98x = 71.73 × 71.73
  4. Step 4: Simplify right side
    48.98x = 5,145.32
  5. Step 5: Solve for x
    x = 5,145.32/48.98
  6. Step 6: Final answer
    x = 105.05

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.