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Finding the Third Proportional to 5.89 and 12.35

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Solution

The third proportional to 5.89 and 12.35 is: 25.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.89 : 12.35 = 12.35 : x
  2. Step 2: Convert to fraction form
    5.89/12.35 = 12.35/x
  3. Step 3: Cross multiply
    5.89x = 12.35 × 12.35
  4. Step 4: Simplify right side
    5.89x = 152.62
  5. Step 5: Solve for x
    x = 152.62/5.89
  6. Step 6: Final answer
    x = 25.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.