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Finding the Third Proportional to 34.53 and 44.14

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Solution

The third proportional to 34.53 and 44.14 is: 56.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.53 : 44.14 = 44.14 : x
  2. Step 2: Convert to fraction form
    34.53/44.14 = 44.14/x
  3. Step 3: Cross multiply
    34.53x = 44.14 × 44.14
  4. Step 4: Simplify right side
    34.53x = 1,948.22
  5. Step 5: Solve for x
    x = 1,948.22/34.53
  6. Step 6: Final answer
    x = 56.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.