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Finding the Third Proportional to 3.05 and 6.58

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Solution

The third proportional to 3.05 and 6.58 is: 14.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.05 : 6.58 = 6.58 : x
  2. Step 2: Convert to fraction form
    3.05/6.58 = 6.58/x
  3. Step 3: Cross multiply
    3.05x = 6.58 × 6.58
  4. Step 4: Simplify right side
    3.05x = 43.34
  5. Step 5: Solve for x
    x = 43.34/3.05
  6. Step 6: Final answer
    x = 14.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.