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Finding the Third Proportional to 21,831.75 and 47,144.25

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Solution

The third proportional to 21,831.75 and 47,144.25 is: 101,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831.75 : 47,144.25 = 47,144.25 : x
  2. Step 2: Convert to fraction form
    21,831.75/47,144.25 = 47,144.25/x
  3. Step 3: Cross multiply
    21,831.75x = 47,144.25 × 47,144.25
  4. Step 4: Simplify right side
    21,831.75x = 2,222,580,308.06
  5. Step 5: Solve for x
    x = 2,222,580,308.06/21,831.75
  6. Step 6: Final answer
    x = 101,804.95

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