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Finding the Third Proportional to 31,731.75 and 67,533.75

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Solution

The third proportional to 31,731.75 and 67,533.75 is: 143,730.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,731.75 : 67,533.75 = 67,533.75 : x
  2. Step 2: Convert to fraction form
    31,731.75/67,533.75 = 67,533.75/x
  3. Step 3: Cross multiply
    31,731.75x = 67,533.75 × 67,533.75
  4. Step 4: Simplify right side
    31,731.75x = 4,560,807,389.06
  5. Step 5: Solve for x
    x = 4,560,807,389.06/31,731.75
  6. Step 6: Final answer
    x = 143,730.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.