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Finding the Third Proportional to 5.64 and 12.36

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Solution

The third proportional to 5.64 and 12.36 is: 27.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.64 : 12.36 = 12.36 : x
  2. Step 2: Convert to fraction form
    5.64/12.36 = 12.36/x
  3. Step 3: Cross multiply
    5.64x = 12.36 × 12.36
  4. Step 4: Simplify right side
    5.64x = 152.72
  5. Step 5: Solve for x
    x = 152.72/5.64
  6. Step 6: Final answer
    x = 27.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.