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Finding the Third Proportional to 23,831.44 and 50,829.19

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Solution

The third proportional to 23,831.44 and 50,829.19 is: 108,411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831.44 : 50,829.19 = 50,829.19 : x
  2. Step 2: Convert to fraction form
    23,831.44/50,829.19 = 50,829.19/x
  3. Step 3: Cross multiply
    23,831.44x = 50,829.19 × 50,829.19
  4. Step 4: Simplify right side
    23,831.44x = 2,583,606,301.91
  5. Step 5: Solve for x
    x = 2,583,606,301.91/23,831.44
  6. Step 6: Final answer
    x = 108,411.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.