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Finding the Third Proportional to 46.69 and 115.88

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Solution

The third proportional to 46.69 and 115.88 is: 287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 115.88 = 115.88 : x
  2. Step 2: Convert to fraction form
    46.69/115.88 = 115.88/x
  3. Step 3: Cross multiply
    46.69x = 115.88 × 115.88
  4. Step 4: Simplify right side
    46.69x = 13,427.02
  5. Step 5: Solve for x
    x = 13,427.02/46.69
  6. Step 6: Final answer
    x = 287.59

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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.