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Finding the Third Proportional to 5.68 and 8.93

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Solution

The third proportional to 5.68 and 8.93 is: 14.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.68 : 8.93 = 8.93 : x
  2. Step 2: Convert to fraction form
    5.68/8.93 = 8.93/x
  3. Step 3: Cross multiply
    5.68x = 8.93 × 8.93
  4. Step 4: Simplify right side
    5.68x = 79.75
  5. Step 5: Solve for x
    x = 79.75/5.68
  6. Step 6: Final answer
    x = 14.03

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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.