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Finding the Third Proportional to 8,037.75 and 12,790.13

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Solution

The third proportional to 8,037.75 and 12,790.13 is: 20,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.75 : 12,790.13 = 12,790.13 : x
  2. Step 2: Convert to fraction form
    8,037.75/12,790.13 = 12,790.13/x
  3. Step 3: Cross multiply
    8,037.75x = 12,790.13 × 12,790.13
  4. Step 4: Simplify right side
    8,037.75x = 163,587,297.52
  5. Step 5: Solve for x
    x = 163,587,297.52/8,037.75
  6. Step 6: Final answer
    x = 20,352.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.