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Finding the Third Proportional to 8,341.73 and 12,512.60

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Solution

The third proportional to 8,341.73 and 12,512.60 is: 18,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.73 : 12,512.60 = 12,512.60 : x
  2. Step 2: Convert to fraction form
    8,341.73/12,512.60 = 12,512.60/x
  3. Step 3: Cross multiply
    8,341.73x = 12,512.60 × 12,512.60
  4. Step 4: Simplify right side
    8,341.73x = 156,565,197.86
  5. Step 5: Solve for x
    x = 156,565,197.86/8,341.73
  6. Step 6: Final answer
    x = 18,768.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.