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Finding the Third Proportional to 31,359.75 and 67,831.13

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Solution

The third proportional to 31,359.75 and 67,831.13 is: 146,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,359.75 : 67,831.13 = 67,831.13 : x
  2. Step 2: Convert to fraction form
    31,359.75/67,831.13 = 67,831.13/x
  3. Step 3: Cross multiply
    31,359.75x = 67,831.13 × 67,831.13
  4. Step 4: Simplify right side
    31,359.75x = 4,601,061,518.77
  5. Step 5: Solve for x
    x = 4,601,061,518.77/31,359.75
  6. Step 6: Final answer
    x = 146,718.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.