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Finding the Third Proportional to 9,993.38 and 14,205.38

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Solution

The third proportional to 9,993.38 and 14,205.38 is: 20,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.38 : 14,205.38 = 14,205.38 : x
  2. Step 2: Convert to fraction form
    9,993.38/14,205.38 = 14,205.38/x
  3. Step 3: Cross multiply
    9,993.38x = 14,205.38 × 14,205.38
  4. Step 4: Simplify right side
    9,993.38x = 201,792,678.89
  5. Step 5: Solve for x
    x = 201,792,678.89/9,993.38
  6. Step 6: Final answer
    x = 20,192.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.