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Finding the Third Proportional to 31,769.25 and 67,901.25

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Solution

The third proportional to 31,769.25 and 67,901.25 is: 145,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,769.25 : 67,901.25 = 67,901.25 : x
  2. Step 2: Convert to fraction form
    31,769.25/67,901.25 = 67,901.25/x
  3. Step 3: Cross multiply
    31,769.25x = 67,901.25 × 67,901.25
  4. Step 4: Simplify right side
    31,769.25x = 4,610,579,751.56
  5. Step 5: Solve for x
    x = 4,610,579,751.56/31,769.25
  6. Step 6: Final answer
    x = 145,127.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.