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Finding the Third Proportional to 6,336.14 and 9,263.46

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Solution

The third proportional to 6,336.14 and 9,263.46 is: 13,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.14 : 9,263.46 = 9,263.46 : x
  2. Step 2: Convert to fraction form
    6,336.14/9,263.46 = 9,263.46/x
  3. Step 3: Cross multiply
    6,336.14x = 9,263.46 × 9,263.46
  4. Step 4: Simplify right side
    6,336.14x = 85,811,708.54
  5. Step 5: Solve for x
    x = 85,811,708.54/6,336.14
  6. Step 6: Final answer
    x = 13,543.21

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1.5x scale

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.