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Finding the Third Proportional to 6,296.63 and 8,521.88

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Solution

The third proportional to 6,296.63 and 8,521.88 is: 11,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.63 : 8,521.88 = 8,521.88 : x
  2. Step 2: Convert to fraction form
    6,296.63/8,521.88 = 8,521.88/x
  3. Step 3: Cross multiply
    6,296.63x = 8,521.88 × 8,521.88
  4. Step 4: Simplify right side
    6,296.63x = 72,622,353.52
  5. Step 5: Solve for x
    x = 72,622,353.52/6,296.63
  6. Step 6: Final answer
    x = 11,533.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.