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Finding the Third Proportional to 47.70 and 112.84

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Solution

The third proportional to 47.70 and 112.84 is: 266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.70 : 112.84 = 112.84 : x
  2. Step 2: Convert to fraction form
    47.70/112.84 = 112.84/x
  3. Step 3: Cross multiply
    47.70x = 112.84 × 112.84
  4. Step 4: Simplify right side
    47.70x = 12,732.50
  5. Step 5: Solve for x
    x = 12,732.50/47.70
  6. Step 6: Final answer
    x = 266.94

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.