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Finding the Third Proportional to 15,993 and 33,831.25

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Solution

The third proportional to 15,993 and 33,831.25 is: 71,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,993 : 33,831.25 = 33,831.25 : x
  2. Step 2: Convert to fraction form
    15,993/33,831.25 = 33,831.25/x
  3. Step 3: Cross multiply
    15,993x = 33,831.25 × 33,831.25
  4. Step 4: Simplify right side
    15,993x = 1,144,553,476.56
  5. Step 5: Solve for x
    x = 1,144,553,476.56/15,993
  6. Step 6: Final answer
    x = 71,565.90

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.