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Finding the Third Proportional to 22.53 and 49.07

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Solution

The third proportional to 22.53 and 49.07 is: 106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.53 : 49.07 = 49.07 : x
  2. Step 2: Convert to fraction form
    22.53/49.07 = 49.07/x
  3. Step 3: Cross multiply
    22.53x = 49.07 × 49.07
  4. Step 4: Simplify right side
    22.53x = 2,407.45
  5. Step 5: Solve for x
    x = 2,407.45/22.53
  6. Step 6: Final answer
    x = 106.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.