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Finding the Third Proportional to 30,524 and 63,002

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Solution

The third proportional to 30,524 and 63,002 is: 130,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524 : 63,002 = 63,002 : x
  2. Step 2: Convert to fraction form
    30,524/63,002 = 63,002/x
  3. Step 3: Cross multiply
    30,524x = 63,002 × 63,002
  4. Step 4: Simplify right side
    30,524x = 3,969,252,004
  5. Step 5: Solve for x
    x = 3,969,252,004/30,524
  6. Step 6: Final answer
    x = 130,037.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.