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Finding the Third Proportional to 32,803 and 67,939

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Solution

The third proportional to 32,803 and 67,939 is: 140,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,803 : 67,939 = 67,939 : x
  2. Step 2: Convert to fraction form
    32,803/67,939 = 67,939/x
  3. Step 3: Cross multiply
    32,803x = 67,939 × 67,939
  4. Step 4: Simplify right side
    32,803x = 4,615,707,721
  5. Step 5: Solve for x
    x = 4,615,707,721/32,803
  6. Step 6: Final answer
    x = 140,709.93

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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.