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Finding the Third Proportional to 32,781 and 49,338

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Solution

The third proportional to 32,781 and 49,338 is: 74,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781 : 49,338 = 49,338 : x
  2. Step 2: Convert to fraction form
    32,781/49,338 = 49,338/x
  3. Step 3: Cross multiply
    32,781x = 49,338 × 49,338
  4. Step 4: Simplify right side
    32,781x = 2,434,238,244
  5. Step 5: Solve for x
    x = 2,434,238,244/32,781
  6. Step 6: Final answer
    x = 74,257.60

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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.