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Finding the Third Proportional to 31,963.50 and 69,759

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Solution

The third proportional to 31,963.50 and 69,759 is: 152,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,963.50 : 69,759 = 69,759 : x
  2. Step 2: Convert to fraction form
    31,963.50/69,759 = 69,759/x
  3. Step 3: Cross multiply
    31,963.50x = 69,759 × 69,759
  4. Step 4: Simplify right side
    31,963.50x = 4,866,318,081
  5. Step 5: Solve for x
    x = 4,866,318,081/31,963.50
  6. Step 6: Final answer
    x = 152,246.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.