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Finding the Third Proportional to 31,943 and 69,412

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Solution

The third proportional to 31,943 and 69,412 is: 150,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,943 : 69,412 = 69,412 : x
  2. Step 2: Convert to fraction form
    31,943/69,412 = 69,412/x
  3. Step 3: Cross multiply
    31,943x = 69,412 × 69,412
  4. Step 4: Simplify right side
    31,943x = 4,818,025,744
  5. Step 5: Solve for x
    x = 4,818,025,744/31,943
  6. Step 6: Final answer
    x = 150,831.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.