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Finding the Third Proportional to 9,831.38 and 24,456.94

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Solution

The third proportional to 9,831.38 and 24,456.94 is: 60,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.38 : 24,456.94 = 24,456.94 : x
  2. Step 2: Convert to fraction form
    9,831.38/24,456.94 = 24,456.94/x
  3. Step 3: Cross multiply
    9,831.38x = 24,456.94 × 24,456.94
  4. Step 4: Simplify right side
    9,831.38x = 598,141,791.88
  5. Step 5: Solve for x
    x = 598,141,791.88/9,831.38
  6. Step 6: Final answer
    x = 60,840.10

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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.