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Finding the Third Proportional to 8,078.63 and 12,193.88

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Solution

The third proportional to 8,078.63 and 12,193.88 is: 18,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.63 : 12,193.88 = 12,193.88 : x
  2. Step 2: Convert to fraction form
    8,078.63/12,193.88 = 12,193.88/x
  3. Step 3: Cross multiply
    8,078.63x = 12,193.88 × 12,193.88
  4. Step 4: Simplify right side
    8,078.63x = 148,690,587.52
  5. Step 5: Solve for x
    x = 148,690,587.52/8,078.63
  6. Step 6: Final answer
    x = 18,405.43

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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.