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Finding the Third Proportional to 46.41 and 115.17

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Solution

The third proportional to 46.41 and 115.17 is: 285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.41 : 115.17 = 115.17 : x
  2. Step 2: Convert to fraction form
    46.41/115.17 = 115.17/x
  3. Step 3: Cross multiply
    46.41x = 115.17 × 115.17
  4. Step 4: Simplify right side
    46.41x = 13,264.56
  5. Step 5: Solve for x
    x = 13,264.56/46.41
  6. Step 6: Final answer
    x = 285.84

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.