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Finding the Third Proportional to 8,359.06 and 12,230.92

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Solution

The third proportional to 8,359.06 and 12,230.92 is: 17,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.06 : 12,230.92 = 12,230.92 : x
  2. Step 2: Convert to fraction form
    8,359.06/12,230.92 = 12,230.92/x
  3. Step 3: Cross multiply
    8,359.06x = 12,230.92 × 12,230.92
  4. Step 4: Simplify right side
    8,359.06x = 149,595,426.02
  5. Step 5: Solve for x
    x = 149,595,426.02/8,359.06
  6. Step 6: Final answer
    x = 17,896.21

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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.