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Finding the Third Proportional to 2.13 and 4.36

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Solution

The third proportional to 2.13 and 4.36 is: 8.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.13 : 4.36 = 4.36 : x
  2. Step 2: Convert to fraction form
    2.13/4.36 = 4.36/x
  3. Step 3: Cross multiply
    2.13x = 4.36 × 4.36
  4. Step 4: Simplify right side
    2.13x = 19.04
  5. Step 5: Solve for x
    x = 19.04/2.13
  6. Step 6: Final answer
    x = 8.93

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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.