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Finding the Third Proportional to 21,831.50 and 33,373.50

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Solution

The third proportional to 21,831.50 and 33,373.50 is: 51,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831.50 : 33,373.50 = 33,373.50 : x
  2. Step 2: Convert to fraction form
    21,831.50/33,373.50 = 33,373.50/x
  3. Step 3: Cross multiply
    21,831.50x = 33,373.50 × 33,373.50
  4. Step 4: Simplify right side
    21,831.50x = 1,113,790,502.25
  5. Step 5: Solve for x
    x = 1,113,790,502.25/21,831.50
  6. Step 6: Final answer
    x = 51,017.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.