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Finding the Third Proportional to 30,732 and 44,754

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Solution

The third proportional to 30,732 and 44,754 is: 65,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732 : 44,754 = 44,754 : x
  2. Step 2: Convert to fraction form
    30,732/44,754 = 44,754/x
  3. Step 3: Cross multiply
    30,732x = 44,754 × 44,754
  4. Step 4: Simplify right side
    30,732x = 2,002,920,516
  5. Step 5: Solve for x
    x = 2,002,920,516/30,732
  6. Step 6: Final answer
    x = 65,173.78

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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.