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Finding the Third Proportional to 1.82 and 4.17

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Solution

The third proportional to 1.82 and 4.17 is: 9.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.82 : 4.17 = 4.17 : x
  2. Step 2: Convert to fraction form
    1.82/4.17 = 4.17/x
  3. Step 3: Cross multiply
    1.82x = 4.17 × 4.17
  4. Step 4: Simplify right side
    1.82x = 17.38
  5. Step 5: Solve for x
    x = 17.38/1.82
  6. Step 6: Final answer
    x = 9.57

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.