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Finding the Third Proportional to 14 and 22.53

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Solution

The third proportional to 14 and 22.53 is: 36.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14 : 22.53 = 22.53 : x
  2. Step 2: Convert to fraction form
    14/22.53 = 22.53/x
  3. Step 3: Cross multiply
    14x = 22.53 × 22.53
  4. Step 4: Simplify right side
    14x = 507.66
  5. Step 5: Solve for x
    x = 507.66/14
  6. Step 6: Final answer
    x = 36.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.