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Finding the Third Proportional to 32.75 and 44.14

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Solution

The third proportional to 32.75 and 44.14 is: 59.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.75 : 44.14 = 44.14 : x
  2. Step 2: Convert to fraction form
    32.75/44.14 = 44.14/x
  3. Step 3: Cross multiply
    32.75x = 44.14 × 44.14
  4. Step 4: Simplify right side
    32.75x = 1,948.22
  5. Step 5: Solve for x
    x = 1,948.22/32.75
  6. Step 6: Final answer
    x = 59.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.