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Finding the Third Proportional to 12,831.75 and 27,921.38

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Solution

The third proportional to 12,831.75 and 27,921.38 is: 60,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.75 : 27,921.38 = 27,921.38 : x
  2. Step 2: Convert to fraction form
    12,831.75/27,921.38 = 27,921.38/x
  3. Step 3: Cross multiply
    12,831.75x = 27,921.38 × 27,921.38
  4. Step 4: Simplify right side
    12,831.75x = 779,603,181.89
  5. Step 5: Solve for x
    x = 779,603,181.89/12,831.75
  6. Step 6: Final answer
    x = 60,755.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.