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Finding the Third Proportional to 32,401 and 50,717

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Solution

The third proportional to 32,401 and 50,717 is: 79,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,401 : 50,717 = 50,717 : x
  2. Step 2: Convert to fraction form
    32,401/50,717 = 50,717/x
  3. Step 3: Cross multiply
    32,401x = 50,717 × 50,717
  4. Step 4: Simplify right side
    32,401x = 2,572,214,089
  5. Step 5: Solve for x
    x = 2,572,214,089/32,401
  6. Step 6: Final answer
    x = 79,386.87

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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.