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Finding the Third Proportional to 10.79 and 22.86

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Solution

The third proportional to 10.79 and 22.86 is: 48.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.79 : 22.86 = 22.86 : x
  2. Step 2: Convert to fraction form
    10.79/22.86 = 22.86/x
  3. Step 3: Cross multiply
    10.79x = 22.86 × 22.86
  4. Step 4: Simplify right side
    10.79x = 522.64
  5. Step 5: Solve for x
    x = 522.64/10.79
  6. Step 6: Final answer
    x = 48.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.