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Finding the Third Proportional to 11.00 and 22.76

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Solution

The third proportional to 11.00 and 22.76 is: 47.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.00 : 22.76 = 22.76 : x
  2. Step 2: Convert to fraction form
    11.00/22.76 = 22.76/x
  3. Step 3: Cross multiply
    11.00x = 22.76 × 22.76
  4. Step 4: Simplify right side
    11.00x = 518.08
  5. Step 5: Solve for x
    x = 518.08/11.00
  6. Step 6: Final answer
    x = 47.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.