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Finding the Third Proportional to 39,136 and 59,451

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Solution

The third proportional to 39,136 and 59,451 is: 90,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,136 : 59,451 = 59,451 : x
  2. Step 2: Convert to fraction form
    39,136/59,451 = 59,451/x
  3. Step 3: Cross multiply
    39,136x = 59,451 × 59,451
  4. Step 4: Simplify right side
    39,136x = 3,534,421,401
  5. Step 5: Solve for x
    x = 3,534,421,401/39,136
  6. Step 6: Final answer
    x = 90,311.26

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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.