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Finding the Third Proportional to 10,954.62 and 23,831.72

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Solution

The third proportional to 10,954.62 and 23,831.72 is: 51,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.62 : 23,831.72 = 23,831.72 : x
  2. Step 2: Convert to fraction form
    10,954.62/23,831.72 = 23,831.72/x
  3. Step 3: Cross multiply
    10,954.62x = 23,831.72 × 23,831.72
  4. Step 4: Simplify right side
    10,954.62x = 567,950,818.58
  5. Step 5: Solve for x
    x = 567,950,818.58/10,954.62
  6. Step 6: Final answer
    x = 51,845.79

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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.