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Finding the Third Proportional to 8.93 and 21.59

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Solution

The third proportional to 8.93 and 21.59 is: 52.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.93 : 21.59 = 21.59 : x
  2. Step 2: Convert to fraction form
    8.93/21.59 = 21.59/x
  3. Step 3: Cross multiply
    8.93x = 21.59 × 21.59
  4. Step 4: Simplify right side
    8.93x = 465.95
  5. Step 5: Solve for x
    x = 465.95/8.93
  6. Step 6: Final answer
    x = 52.18

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.