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Finding the Third Proportional to 23,831.44 and 51,585.19

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Solution

The third proportional to 23,831.44 and 51,585.19 is: 111,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831.44 : 51,585.19 = 51,585.19 : x
  2. Step 2: Convert to fraction form
    23,831.44/51,585.19 = 51,585.19/x
  3. Step 3: Cross multiply
    23,831.44x = 51,585.19 × 51,585.19
  4. Step 4: Simplify right side
    23,831.44x = 2,661,031,569.41
  5. Step 5: Solve for x
    x = 2,661,031,569.41/23,831.44
  6. Step 6: Final answer
    x = 111,660.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.