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Finding the Third Proportional to 18.14 and 32.06

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Solution

The third proportional to 18.14 and 32.06 is: 56.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.14 : 32.06 = 32.06 : x
  2. Step 2: Convert to fraction form
    18.14/32.06 = 32.06/x
  3. Step 3: Cross multiply
    18.14x = 32.06 × 32.06
  4. Step 4: Simplify right side
    18.14x = 1,028.00
  5. Step 5: Solve for x
    x = 1,028.00/18.14
  6. Step 6: Final answer
    x = 56.67

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.