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Finding the Third Proportional to 22.88 and 48.56

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Solution

The third proportional to 22.88 and 48.56 is: 103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.88 : 48.56 = 48.56 : x
  2. Step 2: Convert to fraction form
    22.88/48.56 = 48.56/x
  3. Step 3: Cross multiply
    22.88x = 48.56 × 48.56
  4. Step 4: Simplify right side
    22.88x = 2,358.32
  5. Step 5: Solve for x
    x = 2,358.32/22.88
  6. Step 6: Final answer
    x = 103.10

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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.