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Finding the Third Proportional to 32,939 and 73,246

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Solution

The third proportional to 32,939 and 73,246 is: 162,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,939 : 73,246 = 73,246 : x
  2. Step 2: Convert to fraction form
    32,939/73,246 = 73,246/x
  3. Step 3: Cross multiply
    32,939x = 73,246 × 73,246
  4. Step 4: Simplify right side
    32,939x = 5,364,976,516
  5. Step 5: Solve for x
    x = 5,364,976,516/32,939
  6. Step 6: Final answer
    x = 162,876.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.