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Finding the Third Proportional to 30,004 and 47,449

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Solution

The third proportional to 30,004 and 47,449 is: 75,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,004 : 47,449 = 47,449 : x
  2. Step 2: Convert to fraction form
    30,004/47,449 = 47,449/x
  3. Step 3: Cross multiply
    30,004x = 47,449 × 47,449
  4. Step 4: Simplify right side
    30,004x = 2,251,407,601
  5. Step 5: Solve for x
    x = 2,251,407,601/30,004
  6. Step 6: Final answer
    x = 75,036.92

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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.