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Finding the Third Proportional to 48.35 and 104.72

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Solution

The third proportional to 48.35 and 104.72 is: 226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.35 : 104.72 = 104.72 : x
  2. Step 2: Convert to fraction form
    48.35/104.72 = 104.72/x
  3. Step 3: Cross multiply
    48.35x = 104.72 × 104.72
  4. Step 4: Simplify right side
    48.35x = 10,966.02
  5. Step 5: Solve for x
    x = 10,966.02/48.35
  6. Step 6: Final answer
    x = 226.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.