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Finding the Third Proportional to 22.49 and 35.85

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Solution

The third proportional to 22.49 and 35.85 is: 57.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.49 : 35.85 = 35.85 : x
  2. Step 2: Convert to fraction form
    22.49/35.85 = 35.85/x
  3. Step 3: Cross multiply
    22.49x = 35.85 × 35.85
  4. Step 4: Simplify right side
    22.49x = 1,285.41
  5. Step 5: Solve for x
    x = 1,285.41/22.49
  6. Step 6: Final answer
    x = 57.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.