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Finding the Third Proportional to 31,746.94 and 68,991.75

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Solution

The third proportional to 31,746.94 and 68,991.75 is: 149,931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,746.94 : 68,991.75 = 68,991.75 : x
  2. Step 2: Convert to fraction form
    31,746.94/68,991.75 = 68,991.75/x
  3. Step 3: Cross multiply
    31,746.94x = 68,991.75 × 68,991.75
  4. Step 4: Simplify right side
    31,746.94x = 4,759,861,568.06
  5. Step 5: Solve for x
    x = 4,759,861,568.06/31,746.94
  6. Step 6: Final answer
    x = 149,931.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.