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Finding the Third Proportional to 31,509.56 and 65,940.19

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Solution

The third proportional to 31,509.56 and 65,940.19 is: 137,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.56 : 65,940.19 = 65,940.19 : x
  2. Step 2: Convert to fraction form
    31,509.56/65,940.19 = 65,940.19/x
  3. Step 3: Cross multiply
    31,509.56x = 65,940.19 × 65,940.19
  4. Step 4: Simplify right side
    31,509.56x = 4,348,108,327.54
  5. Step 5: Solve for x
    x = 4,348,108,327.54/31,509.56
  6. Step 6: Final answer
    x = 137,993.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.