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Finding the Third Proportional to 31,331.25 and 64,739.25

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Solution

The third proportional to 31,331.25 and 64,739.25 is: 133,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,331.25 : 64,739.25 = 64,739.25 : x
  2. Step 2: Convert to fraction form
    31,331.25/64,739.25 = 64,739.25/x
  3. Step 3: Cross multiply
    31,331.25x = 64,739.25 × 64,739.25
  4. Step 4: Simplify right side
    31,331.25x = 4,191,170,490.56
  5. Step 5: Solve for x
    x = 4,191,170,490.56/31,331.25
  6. Step 6: Final answer
    x = 133,769.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.