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Finding the Third Proportional to 22.31 and 46.59

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Solution

The third proportional to 22.31 and 46.59 is: 97.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.31 : 46.59 = 46.59 : x
  2. Step 2: Convert to fraction form
    22.31/46.59 = 46.59/x
  3. Step 3: Cross multiply
    22.31x = 46.59 × 46.59
  4. Step 4: Simplify right side
    22.31x = 2,170.98
  5. Step 5: Solve for x
    x = 2,170.98/22.31
  6. Step 6: Final answer
    x = 97.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.