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Finding the Third Proportional to 6.19 and 9.99

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Solution

The third proportional to 6.19 and 9.99 is: 16.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.19 : 9.99 = 9.99 : x
  2. Step 2: Convert to fraction form
    6.19/9.99 = 9.99/x
  3. Step 3: Cross multiply
    6.19x = 9.99 × 9.99
  4. Step 4: Simplify right side
    6.19x = 99.81
  5. Step 5: Solve for x
    x = 99.81/6.19
  6. Step 6: Final answer
    x = 16.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.