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Finding the Third Proportional to 6,576.19 and 8,314.31

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Solution

The third proportional to 6,576.19 and 8,314.31 is: 10,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.19 : 8,314.31 = 8,314.31 : x
  2. Step 2: Convert to fraction form
    6,576.19/8,314.31 = 8,314.31/x
  3. Step 3: Cross multiply
    6,576.19x = 8,314.31 × 8,314.31
  4. Step 4: Simplify right side
    6,576.19x = 69,127,792.35
  5. Step 5: Solve for x
    x = 69,127,792.35/6,576.19
  6. Step 6: Final answer
    x = 10,511.83

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.