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Finding the Third Proportional to 5.66 and 8.90

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Solution

The third proportional to 5.66 and 8.90 is: 13.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.66 : 8.90 = 8.90 : x
  2. Step 2: Convert to fraction form
    5.66/8.90 = 8.90/x
  3. Step 3: Cross multiply
    5.66x = 8.90 × 8.90
  4. Step 4: Simplify right side
    5.66x = 79.16
  5. Step 5: Solve for x
    x = 79.16/5.66
  6. Step 6: Final answer
    x = 13.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.