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Finding the Third Proportional to 6,296.34 and 8,826.19

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Solution

The third proportional to 6,296.34 and 8,826.19 is: 12,372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.34 : 8,826.19 = 8,826.19 : x
  2. Step 2: Convert to fraction form
    6,296.34/8,826.19 = 8,826.19/x
  3. Step 3: Cross multiply
    6,296.34x = 8,826.19 × 8,826.19
  4. Step 4: Simplify right side
    6,296.34x = 77,901,585.79
  5. Step 5: Solve for x
    x = 77,901,585.79/6,296.34
  6. Step 6: Final answer
    x = 12,372.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.