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Finding the Third Proportional to 2.08 and 4.65

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Solution

The third proportional to 2.08 and 4.65 is: 10.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.08 : 4.65 = 4.65 : x
  2. Step 2: Convert to fraction form
    2.08/4.65 = 4.65/x
  3. Step 3: Cross multiply
    2.08x = 4.65 × 4.65
  4. Step 4: Simplify right side
    2.08x = 21.63
  5. Step 5: Solve for x
    x = 21.63/2.08
  6. Step 6: Final answer
    x = 10.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.