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Finding the Third Proportional to 31,911.75 and 69,769.13

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Solution

The third proportional to 31,911.75 and 69,769.13 is: 152,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,911.75 : 69,769.13 = 69,769.13 : x
  2. Step 2: Convert to fraction form
    31,911.75/69,769.13 = 69,769.13/x
  3. Step 3: Cross multiply
    31,911.75x = 69,769.13 × 69,769.13
  4. Step 4: Simplify right side
    31,911.75x = 4,867,730,803.27
  5. Step 5: Solve for x
    x = 4,867,730,803.27/31,911.75
  6. Step 6: Final answer
    x = 152,537.26

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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.