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Finding the Third Proportional to 9.13 and 20.32

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Solution

The third proportional to 9.13 and 20.32 is: 45.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.13 : 20.32 = 20.32 : x
  2. Step 2: Convert to fraction form
    9.13/20.32 = 20.32/x
  3. Step 3: Cross multiply
    9.13x = 20.32 × 20.32
  4. Step 4: Simplify right side
    9.13x = 412.95
  5. Step 5: Solve for x
    x = 412.95/9.13
  6. Step 6: Final answer
    x = 45.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.