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Finding the Third Proportional to 22 and 32.06

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Solution

The third proportional to 22 and 32.06 is: 46.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22 : 32.06 = 32.06 : x
  2. Step 2: Convert to fraction form
    22/32.06 = 32.06/x
  3. Step 3: Cross multiply
    22x = 32.06 × 32.06
  4. Step 4: Simplify right side
    22x = 1,028.00
  5. Step 5: Solve for x
    x = 1,028.00/22
  6. Step 6: Final answer
    x = 46.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.