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Finding the Third Proportional to 46.91 and 102.95

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Solution

The third proportional to 46.91 and 102.95 is: 225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.91 : 102.95 = 102.95 : x
  2. Step 2: Convert to fraction form
    46.91/102.95 = 102.95/x
  3. Step 3: Cross multiply
    46.91x = 102.95 × 102.95
  4. Step 4: Simplify right side
    46.91x = 10,597.87
  5. Step 5: Solve for x
    x = 10,597.87/46.91
  6. Step 6: Final answer
    x = 225.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.