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Finding the Third Proportional to 32,407 and 50,771

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Solution

The third proportional to 32,407 and 50,771 is: 79,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407 : 50,771 = 50,771 : x
  2. Step 2: Convert to fraction form
    32,407/50,771 = 50,771/x
  3. Step 3: Cross multiply
    32,407x = 50,771 × 50,771
  4. Step 4: Simplify right side
    32,407x = 2,577,694,441
  5. Step 5: Solve for x
    x = 2,577,694,441/32,407
  6. Step 6: Final answer
    x = 79,541.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.