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Finding the Third Proportional to 31,525 and 67,833

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Solution

The third proportional to 31,525 and 67,833 is: 145,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525 : 67,833 = 67,833 : x
  2. Step 2: Convert to fraction form
    31,525/67,833 = 67,833/x
  3. Step 3: Cross multiply
    31,525x = 67,833 × 67,833
  4. Step 4: Simplify right side
    31,525x = 4,601,315,889
  5. Step 5: Solve for x
    x = 4,601,315,889/31,525
  6. Step 6: Final answer
    x = 145,957.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.