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Finding the Third Proportional to 21,831.40 and 46,943.30

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Solution

The third proportional to 21,831.40 and 46,943.30 is: 100,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831.40 : 46,943.30 = 46,943.30 : x
  2. Step 2: Convert to fraction form
    21,831.40/46,943.30 = 46,943.30/x
  3. Step 3: Cross multiply
    21,831.40x = 46,943.30 × 46,943.30
  4. Step 4: Simplify right side
    21,831.40x = 2,203,673,121.49
  5. Step 5: Solve for x
    x = 2,203,673,121.49/21,831.40
  6. Step 6: Final answer
    x = 100,940.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.