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Finding the Third Proportional to 30,894 and 49,743

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Solution

The third proportional to 30,894 and 49,743 is: 80,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894 : 49,743 = 49,743 : x
  2. Step 2: Convert to fraction form
    30,894/49,743 = 49,743/x
  3. Step 3: Cross multiply
    30,894x = 49,743 × 49,743
  4. Step 4: Simplify right side
    30,894x = 2,474,366,049
  5. Step 5: Solve for x
    x = 2,474,366,049/30,894
  6. Step 6: Final answer
    x = 80,092.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.