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Finding the Third Proportional to 2.29 and 4.69

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Solution

The third proportional to 2.29 and 4.69 is: 9.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.29 : 4.69 = 4.69 : x
  2. Step 2: Convert to fraction form
    2.29/4.69 = 4.69/x
  3. Step 3: Cross multiply
    2.29x = 4.69 × 4.69
  4. Step 4: Simplify right side
    2.29x = 22.00
  5. Step 5: Solve for x
    x = 22.00/2.29
  6. Step 6: Final answer
    x = 9.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.