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Finding the Third Proportional to 8.97 and 23.05

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Solution

The third proportional to 8.97 and 23.05 is: 59.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.97 : 23.05 = 23.05 : x
  2. Step 2: Convert to fraction form
    8.97/23.05 = 23.05/x
  3. Step 3: Cross multiply
    8.97x = 23.05 × 23.05
  4. Step 4: Simplify right side
    8.97x = 531.28
  5. Step 5: Solve for x
    x = 531.28/8.97
  6. Step 6: Final answer
    x = 59.21

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.