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Finding the Third Proportional to 48.56 and 72.94

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Solution

The third proportional to 48.56 and 72.94 is: 109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.56 : 72.94 = 72.94 : x
  2. Step 2: Convert to fraction form
    48.56/72.94 = 72.94/x
  3. Step 3: Cross multiply
    48.56x = 72.94 × 72.94
  4. Step 4: Simplify right side
    48.56x = 5,319.88
  5. Step 5: Solve for x
    x = 5,319.88/48.56
  6. Step 6: Final answer
    x = 109.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.