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Finding the Third Proportional to 39,970 and 60,057

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Solution

The third proportional to 39,970 and 60,057 is: 90,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,970 : 60,057 = 60,057 : x
  2. Step 2: Convert to fraction form
    39,970/60,057 = 60,057/x
  3. Step 3: Cross multiply
    39,970x = 60,057 × 60,057
  4. Step 4: Simplify right side
    39,970x = 3,606,843,249
  5. Step 5: Solve for x
    x = 3,606,843,249/39,970
  6. Step 6: Final answer
    x = 90,238.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.