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Finding the Third Proportional to 30,496 and 47,524

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Solution

The third proportional to 30,496 and 47,524 is: 74,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496 : 47,524 = 47,524 : x
  2. Step 2: Convert to fraction form
    30,496/47,524 = 47,524/x
  3. Step 3: Cross multiply
    30,496x = 47,524 × 47,524
  4. Step 4: Simplify right side
    30,496x = 2,258,530,576
  5. Step 5: Solve for x
    x = 2,258,530,576/30,496
  6. Step 6: Final answer
    x = 74,059.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.