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Finding the Third Proportional to 8,037.98 and 12,288.59

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Solution

The third proportional to 8,037.98 and 12,288.59 is: 18,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.98 : 12,288.59 = 12,288.59 : x
  2. Step 2: Convert to fraction form
    8,037.98/12,288.59 = 12,288.59/x
  3. Step 3: Cross multiply
    8,037.98x = 12,288.59 × 12,288.59
  4. Step 4: Simplify right side
    8,037.98x = 151,009,344.34
  5. Step 5: Solve for x
    x = 151,009,344.34/8,037.98
  6. Step 6: Final answer
    x = 18,786.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.