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Finding the Third Proportional to 6,188.91 and 8,044.31

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Solution

The third proportional to 6,188.91 and 8,044.31 is: 10,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.91 : 8,044.31 = 8,044.31 : x
  2. Step 2: Convert to fraction form
    6,188.91/8,044.31 = 8,044.31/x
  3. Step 3: Cross multiply
    6,188.91x = 8,044.31 × 8,044.31
  4. Step 4: Simplify right side
    6,188.91x = 64,710,963.60
  5. Step 5: Solve for x
    x = 64,710,963.60/6,188.91
  6. Step 6: Final answer
    x = 10,455.96

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.