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Finding the Third Proportional to 8,842.29 and 12,015.21

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Solution

The third proportional to 8,842.29 and 12,015.21 is: 16,326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.29 : 12,015.21 = 12,015.21 : x
  2. Step 2: Convert to fraction form
    8,842.29/12,015.21 = 12,015.21/x
  3. Step 3: Cross multiply
    8,842.29x = 12,015.21 × 12,015.21
  4. Step 4: Simplify right side
    8,842.29x = 144,365,293.87
  5. Step 5: Solve for x
    x = 144,365,293.87/8,842.29
  6. Step 6: Final answer
    x = 16,326.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.