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Finding the Third Proportional to 35,737 and 80,579

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Solution

The third proportional to 35,737 and 80,579 is: 181,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737 : 80,579 = 80,579 : x
  2. Step 2: Convert to fraction form
    35,737/80,579 = 80,579/x
  3. Step 3: Cross multiply
    35,737x = 80,579 × 80,579
  4. Step 4: Simplify right side
    35,737x = 6,492,975,241
  5. Step 5: Solve for x
    x = 6,492,975,241/35,737
  6. Step 6: Final answer
    x = 181,687.75

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.