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Finding the Third Proportional to 2.58 and 6.06

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Solution

The third proportional to 2.58 and 6.06 is: 14.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.58 : 6.06 = 6.06 : x
  2. Step 2: Convert to fraction form
    2.58/6.06 = 6.06/x
  3. Step 3: Cross multiply
    2.58x = 6.06 × 6.06
  4. Step 4: Simplify right side
    2.58x = 36.73
  5. Step 5: Solve for x
    x = 36.73/2.58
  6. Step 6: Final answer
    x = 14.23

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.