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Finding the Third Proportional to 17.84 and 24.57

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Solution

The third proportional to 17.84 and 24.57 is: 33.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.84 : 24.57 = 24.57 : x
  2. Step 2: Convert to fraction form
    17.84/24.57 = 24.57/x
  3. Step 3: Cross multiply
    17.84x = 24.57 × 24.57
  4. Step 4: Simplify right side
    17.84x = 603.89
  5. Step 5: Solve for x
    x = 603.89/17.84
  6. Step 6: Final answer
    x = 33.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.