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Finding the Third Proportional to 47.95 and 104.77

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Solution

The third proportional to 47.95 and 104.77 is: 228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.95 : 104.77 = 104.77 : x
  2. Step 2: Convert to fraction form
    47.95/104.77 = 104.77/x
  3. Step 3: Cross multiply
    47.95x = 104.77 × 104.77
  4. Step 4: Simplify right side
    47.95x = 10,975.84
  5. Step 5: Solve for x
    x = 10,975.84/47.95
  6. Step 6: Final answer
    x = 228.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.