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Finding the Third Proportional to 8,134.69 and 12,288.70

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Solution

The third proportional to 8,134.69 and 12,288.70 is: 18,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.69 : 12,288.70 = 12,288.70 : x
  2. Step 2: Convert to fraction form
    8,134.69/12,288.70 = 12,288.70/x
  3. Step 3: Cross multiply
    8,134.69x = 12,288.70 × 12,288.70
  4. Step 4: Simplify right side
    8,134.69x = 151,012,260.50
  5. Step 5: Solve for x
    x = 151,012,260.50/8,134.69
  6. Step 6: Final answer
    x = 18,563.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.