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Finding the Third Proportional to 7,791.19 and 12,563.86

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Solution

The third proportional to 7,791.19 and 12,563.86 is: 20,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.19 : 12,563.86 = 12,563.86 : x
  2. Step 2: Convert to fraction form
    7,791.19/12,563.86 = 12,563.86/x
  3. Step 3: Cross multiply
    7,791.19x = 12,563.86 × 12,563.86
  4. Step 4: Simplify right side
    7,791.19x = 157,850,562.39
  5. Step 5: Solve for x
    x = 157,850,562.39/7,791.19
  6. Step 6: Final answer
    x = 20,260.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.