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Finding the Third Proportional to 2.46 and 5.64

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Solution

The third proportional to 2.46 and 5.64 is: 12.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.46 : 5.64 = 5.64 : x
  2. Step 2: Convert to fraction form
    2.46/5.64 = 5.64/x
  3. Step 3: Cross multiply
    2.46x = 5.64 × 5.64
  4. Step 4: Simplify right side
    2.46x = 31.75
  5. Step 5: Solve for x
    x = 31.75/2.46
  6. Step 6: Final answer
    x = 12.93

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.