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Finding the Third Proportional to 8.90 and 9.59

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Solution

The third proportional to 8.90 and 9.59 is: 10.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.90 : 9.59 = 9.59 : x
  2. Step 2: Convert to fraction form
    8.90/9.59 = 9.59/x
  3. Step 3: Cross multiply
    8.90x = 9.59 × 9.59
  4. Step 4: Simplify right side
    8.90x = 91.96
  5. Step 5: Solve for x
    x = 91.96/8.90
  6. Step 6: Final answer
    x = 10.33

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.