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Finding the Third Proportional to 6,132.94 and 9,439.31

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Solution

The third proportional to 6,132.94 and 9,439.31 is: 14,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.94 : 9,439.31 = 9,439.31 : x
  2. Step 2: Convert to fraction form
    6,132.94/9,439.31 = 9,439.31/x
  3. Step 3: Cross multiply
    6,132.94x = 9,439.31 × 9,439.31
  4. Step 4: Simplify right side
    6,132.94x = 89,100,620.47
  5. Step 5: Solve for x
    x = 89,100,620.47/6,132.94
  6. Step 6: Final answer
    x = 14,528.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.