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Finding the Third Proportional to 22.84 and 35.03

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Solution

The third proportional to 22.84 and 35.03 is: 53.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.84 : 35.03 = 35.03 : x
  2. Step 2: Convert to fraction form
    22.84/35.03 = 35.03/x
  3. Step 3: Cross multiply
    22.84x = 35.03 × 35.03
  4. Step 4: Simplify right side
    22.84x = 1,227.19
  5. Step 5: Solve for x
    x = 1,227.19/22.84
  6. Step 6: Final answer
    x = 53.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.