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Finding the Third Proportional to 32,340 and 49,695

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Solution

The third proportional to 32,340 and 49,695 is: 76,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,340 : 49,695 = 49,695 : x
  2. Step 2: Convert to fraction form
    32,340/49,695 = 49,695/x
  3. Step 3: Cross multiply
    32,340x = 49,695 × 49,695
  4. Step 4: Simplify right side
    32,340x = 2,469,593,025
  5. Step 5: Solve for x
    x = 2,469,593,025/32,340
  6. Step 6: Final answer
    x = 76,363.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.