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Finding the Third Proportional to 14.34 and 20.53

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Solution

The third proportional to 14.34 and 20.53 is: 29.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.34 : 20.53 = 20.53 : x
  2. Step 2: Convert to fraction form
    14.34/20.53 = 20.53/x
  3. Step 3: Cross multiply
    14.34x = 20.53 × 20.53
  4. Step 4: Simplify right side
    14.34x = 421.53
  5. Step 5: Solve for x
    x = 421.53/14.34
  6. Step 6: Final answer
    x = 29.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.