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Finding the Third Proportional to 30,525 and 45,757

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Solution

The third proportional to 30,525 and 45,757 is: 68,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,525 : 45,757 = 45,757 : x
  2. Step 2: Convert to fraction form
    30,525/45,757 = 45,757/x
  3. Step 3: Cross multiply
    30,525x = 45,757 × 45,757
  4. Step 4: Simplify right side
    30,525x = 2,093,703,049
  5. Step 5: Solve for x
    x = 2,093,703,049/30,525
  6. Step 6: Final answer
    x = 68,589.78

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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.