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Finding the Third Proportional to 6,323.93 and 9,255.24

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Solution

The third proportional to 6,323.93 and 9,255.24 is: 13,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.93 : 9,255.24 = 9,255.24 : x
  2. Step 2: Convert to fraction form
    6,323.93/9,255.24 = 9,255.24/x
  3. Step 3: Cross multiply
    6,323.93x = 9,255.24 × 9,255.24
  4. Step 4: Simplify right side
    6,323.93x = 85,659,444.68
  5. Step 5: Solve for x
    x = 85,659,444.68/6,323.93
  6. Step 6: Final answer
    x = 13,545.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.