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Finding the Third Proportional to 31,171.50 and 64,560.38

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Solution

The third proportional to 31,171.50 and 64,560.38 is: 133,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.50 : 64,560.38 = 64,560.38 : x
  2. Step 2: Convert to fraction form
    31,171.50/64,560.38 = 64,560.38/x
  3. Step 3: Cross multiply
    31,171.50x = 64,560.38 × 64,560.38
  4. Step 4: Simplify right side
    31,171.50x = 4,168,042,020.14
  5. Step 5: Solve for x
    x = 4,168,042,020.14/31,171.50
  6. Step 6: Final answer
    x = 133,713.23

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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.