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Finding the Third Proportional to 39,462 and 58,593

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Solution

The third proportional to 39,462 and 58,593 is: 86,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,462 : 58,593 = 58,593 : x
  2. Step 2: Convert to fraction form
    39,462/58,593 = 58,593/x
  3. Step 3: Cross multiply
    39,462x = 58,593 × 58,593
  4. Step 4: Simplify right side
    39,462x = 3,433,139,649
  5. Step 5: Solve for x
    x = 3,433,139,649/39,462
  6. Step 6: Final answer
    x = 86,998.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.