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Finding the Third Proportional to 30,734 and 44,757

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Solution

The third proportional to 30,734 and 44,757 is: 65,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,734 : 44,757 = 44,757 : x
  2. Step 2: Convert to fraction form
    30,734/44,757 = 44,757/x
  3. Step 3: Cross multiply
    30,734x = 44,757 × 44,757
  4. Step 4: Simplify right side
    30,734x = 2,003,189,049
  5. Step 5: Solve for x
    x = 2,003,189,049/30,734
  6. Step 6: Final answer
    x = 65,178.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.