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Finding the Third Proportional to 5.42 and 9.93

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Solution

The third proportional to 5.42 and 9.93 is: 18.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.42 : 9.93 = 9.93 : x
  2. Step 2: Convert to fraction form
    5.42/9.93 = 9.93/x
  3. Step 3: Cross multiply
    5.42x = 9.93 × 9.93
  4. Step 4: Simplify right side
    5.42x = 98.64
  5. Step 5: Solve for x
    x = 98.64/5.42
  6. Step 6: Final answer
    x = 18.21

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.