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Finding the Third Proportional to 13,993.38 and 30,831.57

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Solution

The third proportional to 13,993.38 and 30,831.57 is: 67,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.38 : 30,831.57 = 30,831.57 : x
  2. Step 2: Convert to fraction form
    13,993.38/30,831.57 = 30,831.57/x
  3. Step 3: Cross multiply
    13,993.38x = 30,831.57 × 30,831.57
  4. Step 4: Simplify right side
    13,993.38x = 950,585,968.81
  5. Step 5: Solve for x
    x = 950,585,968.81/13,993.38
  6. Step 6: Final answer
    x = 67,931.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.