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Finding the Third Proportional to 22.31 and 48.84

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Solution

The third proportional to 22.31 and 48.84 is: 106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.31 : 48.84 = 48.84 : x
  2. Step 2: Convert to fraction form
    22.31/48.84 = 48.84/x
  3. Step 3: Cross multiply
    22.31x = 48.84 × 48.84
  4. Step 4: Simplify right side
    22.31x = 2,385.71
  5. Step 5: Solve for x
    x = 2,385.71/22.31
  6. Step 6: Final answer
    x = 106.92

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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.