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Finding the Third Proportional to 22.31 and 35.53

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Solution

The third proportional to 22.31 and 35.53 is: 56.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.31 : 35.53 = 35.53 : x
  2. Step 2: Convert to fraction form
    22.31/35.53 = 35.53/x
  3. Step 3: Cross multiply
    22.31x = 35.53 × 35.53
  4. Step 4: Simplify right side
    22.31x = 1,262.47
  5. Step 5: Solve for x
    x = 1,262.47/22.31
  6. Step 6: Final answer
    x = 56.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.