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Finding the Third Proportional to 7,831.55 and 18,481.05

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Solution

The third proportional to 7,831.55 and 18,481.05 is: 43,611.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.55 : 18,481.05 = 18,481.05 : x
  2. Step 2: Convert to fraction form
    7,831.55/18,481.05 = 18,481.05/x
  3. Step 3: Cross multiply
    7,831.55x = 18,481.05 × 18,481.05
  4. Step 4: Simplify right side
    7,831.55x = 341,549,382.36
  5. Step 5: Solve for x
    x = 341,549,382.36/7,831.55
  6. Step 6: Final answer
    x = 43,611.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.