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Finding the Third Proportional to 3.45 and 4.01

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Solution

The third proportional to 3.45 and 4.01 is: 4.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.45 : 4.01 = 4.01 : x
  2. Step 2: Convert to fraction form
    3.45/4.01 = 4.01/x
  3. Step 3: Cross multiply
    3.45x = 4.01 × 4.01
  4. Step 4: Simplify right side
    3.45x = 16.07
  5. Step 5: Solve for x
    x = 16.07/3.45
  6. Step 6: Final answer
    x = 4.65

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.