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Finding the Third Proportional to 22.56 and 53.19

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Solution

The third proportional to 22.56 and 53.19 is: 125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.56 : 53.19 = 53.19 : x
  2. Step 2: Convert to fraction form
    22.56/53.19 = 53.19/x
  3. Step 3: Cross multiply
    22.56x = 53.19 × 53.19
  4. Step 4: Simplify right side
    22.56x = 2,829.53
  5. Step 5: Solve for x
    x = 2,829.53/22.56
  6. Step 6: Final answer
    x = 125.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.