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Finding the Third Proportional to 22.19 and 32.66

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Solution

The third proportional to 22.19 and 32.66 is: 48.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.19 : 32.66 = 32.66 : x
  2. Step 2: Convert to fraction form
    22.19/32.66 = 32.66/x
  3. Step 3: Cross multiply
    22.19x = 32.66 × 32.66
  4. Step 4: Simplify right side
    22.19x = 1,066.54
  5. Step 5: Solve for x
    x = 1,066.54/22.19
  6. Step 6: Final answer
    x = 48.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.