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Finding the Third Proportional to 8,155.69 and 11,922.19

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Solution

The third proportional to 8,155.69 and 11,922.19 is: 17,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.69 : 11,922.19 = 11,922.19 : x
  2. Step 2: Convert to fraction form
    8,155.69/11,922.19 = 11,922.19/x
  3. Step 3: Cross multiply
    8,155.69x = 11,922.19 × 11,922.19
  4. Step 4: Simplify right side
    8,155.69x = 142,138,554.79
  5. Step 5: Solve for x
    x = 142,138,554.79/8,155.69
  6. Step 6: Final answer
    x = 17,428.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.