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Finding the Third Proportional to 39,401 and 59,830

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Solution

The third proportional to 39,401 and 59,830 is: 90,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,401 : 59,830 = 59,830 : x
  2. Step 2: Convert to fraction form
    39,401/59,830 = 59,830/x
  3. Step 3: Cross multiply
    39,401x = 59,830 × 59,830
  4. Step 4: Simplify right side
    39,401x = 3,579,628,900
  5. Step 5: Solve for x
    x = 3,579,628,900/39,401
  6. Step 6: Final answer
    x = 90,851.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.