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Finding the Third Proportional to 46.63 and 104.69

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Solution

The third proportional to 46.63 and 104.69 is: 235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.63 : 104.69 = 104.69 : x
  2. Step 2: Convert to fraction form
    46.63/104.69 = 104.69/x
  3. Step 3: Cross multiply
    46.63x = 104.69 × 104.69
  4. Step 4: Simplify right side
    46.63x = 10,959.47
  5. Step 5: Solve for x
    x = 10,959.47/46.63
  6. Step 6: Final answer
    x = 235.06

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.