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Finding the Third Proportional to 8,429.63 and 11,809.69

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Solution

The third proportional to 8,429.63 and 11,809.69 is: 16,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.63 : 11,809.69 = 11,809.69 : x
  2. Step 2: Convert to fraction form
    8,429.63/11,809.69 = 11,809.69/x
  3. Step 3: Cross multiply
    8,429.63x = 11,809.69 × 11,809.69
  4. Step 4: Simplify right side
    8,429.63x = 139,468,718.85
  5. Step 5: Solve for x
    x = 139,468,718.85/8,429.63
  6. Step 6: Final answer
    x = 16,545.07

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.