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Finding the Third Proportional to 31,923.50 and 64,759

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Solution

The third proportional to 31,923.50 and 64,759 is: 131,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,923.50 : 64,759 = 64,759 : x
  2. Step 2: Convert to fraction form
    31,923.50/64,759 = 64,759/x
  3. Step 3: Cross multiply
    31,923.50x = 64,759 × 64,759
  4. Step 4: Simplify right side
    31,923.50x = 4,193,728,081
  5. Step 5: Solve for x
    x = 4,193,728,081/31,923.50
  6. Step 6: Final answer
    x = 131,368.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.