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Finding the Third Proportional to 6,719.20 and 13,267.55

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Solution

The third proportional to 6,719.20 and 13,267.55 is: 26,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.20 : 13,267.55 = 13,267.55 : x
  2. Step 2: Convert to fraction form
    6,719.20/13,267.55 = 13,267.55/x
  3. Step 3: Cross multiply
    6,719.20x = 13,267.55 × 13,267.55
  4. Step 4: Simplify right side
    6,719.20x = 176,027,800.08
  5. Step 5: Solve for x
    x = 176,027,800.08/6,719.20
  6. Step 6: Final answer
    x = 26,197.72

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.