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Finding the Third Proportional to 30,583 and 47,266

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Solution

The third proportional to 30,583 and 47,266 is: 73,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,583 : 47,266 = 47,266 : x
  2. Step 2: Convert to fraction form
    30,583/47,266 = 47,266/x
  3. Step 3: Cross multiply
    30,583x = 47,266 × 47,266
  4. Step 4: Simplify right side
    30,583x = 2,234,074,756
  5. Step 5: Solve for x
    x = 2,234,074,756/30,583
  6. Step 6: Final answer
    x = 73,049.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.