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Finding the Third Proportional to 32,939 and 72,029

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Solution

The third proportional to 32,939 and 72,029 is: 157,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,939 : 72,029 = 72,029 : x
  2. Step 2: Convert to fraction form
    32,939/72,029 = 72,029/x
  3. Step 3: Cross multiply
    32,939x = 72,029 × 72,029
  4. Step 4: Simplify right side
    32,939x = 5,188,176,841
  5. Step 5: Solve for x
    x = 5,188,176,841/32,939
  6. Step 6: Final answer
    x = 157,508.63

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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.