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Finding the Third Proportional to 31,399.50 and 68,703

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Solution

The third proportional to 31,399.50 and 68,703 is: 150,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,399.50 : 68,703 = 68,703 : x
  2. Step 2: Convert to fraction form
    31,399.50/68,703 = 68,703/x
  3. Step 3: Cross multiply
    31,399.50x = 68,703 × 68,703
  4. Step 4: Simplify right side
    31,399.50x = 4,720,102,209
  5. Step 5: Solve for x
    x = 4,720,102,209/31,399.50
  6. Step 6: Final answer
    x = 150,324.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.