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Finding the Third Proportional to 32,933 and 49,689

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Solution

The third proportional to 32,933 and 49,689 is: 74,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,933 : 49,689 = 49,689 : x
  2. Step 2: Convert to fraction form
    32,933/49,689 = 49,689/x
  3. Step 3: Cross multiply
    32,933x = 49,689 × 49,689
  4. Step 4: Simplify right side
    32,933x = 2,468,996,721
  5. Step 5: Solve for x
    x = 2,468,996,721/32,933
  6. Step 6: Final answer
    x = 74,970.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.