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Finding the Third Proportional to 4.07 and 9.65

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Solution

The third proportional to 4.07 and 9.65 is: 22.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.07 : 9.65 = 9.65 : x
  2. Step 2: Convert to fraction form
    4.07/9.65 = 9.65/x
  3. Step 3: Cross multiply
    4.07x = 9.65 × 9.65
  4. Step 4: Simplify right side
    4.07x = 93.18
  5. Step 5: Solve for x
    x = 93.18/4.07
  6. Step 6: Final answer
    x = 22.90

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.