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Finding the Third Proportional to 5.82 and 9.04

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Solution

The third proportional to 5.82 and 9.04 is: 14.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.82 : 9.04 = 9.04 : x
  2. Step 2: Convert to fraction form
    5.82/9.04 = 9.04/x
  3. Step 3: Cross multiply
    5.82x = 9.04 × 9.04
  4. Step 4: Simplify right side
    5.82x = 81.63
  5. Step 5: Solve for x
    x = 81.63/5.82
  6. Step 6: Final answer
    x = 14.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.