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Finding the Third Proportional to 30,002 and 47,446

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Solution

The third proportional to 30,002 and 47,446 is: 75,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002 : 47,446 = 47,446 : x
  2. Step 2: Convert to fraction form
    30,002/47,446 = 47,446/x
  3. Step 3: Cross multiply
    30,002x = 47,446 × 47,446
  4. Step 4: Simplify right side
    30,002x = 2,251,122,916
  5. Step 5: Solve for x
    x = 2,251,122,916/30,002
  6. Step 6: Final answer
    x = 75,032.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.