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Finding the Third Proportional to 5.35 and 5.99

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Solution

The third proportional to 5.35 and 5.99 is: 6.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.35 : 5.99 = 5.99 : x
  2. Step 2: Convert to fraction form
    5.35/5.99 = 5.99/x
  3. Step 3: Cross multiply
    5.35x = 5.99 × 5.99
  4. Step 4: Simplify right side
    5.35x = 35.87
  5. Step 5: Solve for x
    x = 35.87/5.35
  6. Step 6: Final answer
    x = 6.70

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.