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Finding the Third Proportional to 30,694 and 47,399

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Solution

The third proportional to 30,694 and 47,399 is: 73,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694 : 47,399 = 47,399 : x
  2. Step 2: Convert to fraction form
    30,694/47,399 = 47,399/x
  3. Step 3: Cross multiply
    30,694x = 47,399 × 47,399
  4. Step 4: Simplify right side
    30,694x = 2,246,665,201
  5. Step 5: Solve for x
    x = 2,246,665,201/30,694
  6. Step 6: Final answer
    x = 73,195.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.