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Finding the Third Proportional to 10,379.25 and 21,831.75

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Solution

The third proportional to 10,379.25 and 21,831.75 is: 45,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.25 : 21,831.75 = 21,831.75 : x
  2. Step 2: Convert to fraction form
    10,379.25/21,831.75 = 21,831.75/x
  3. Step 3: Cross multiply
    10,379.25x = 21,831.75 × 21,831.75
  4. Step 4: Simplify right side
    10,379.25x = 476,625,308.06
  5. Step 5: Solve for x
    x = 476,625,308.06/10,379.25
  6. Step 6: Final answer
    x = 45,920.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.