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Finding the Third Proportional to 47,412 and 69,366

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Solution

The third proportional to 47,412 and 69,366 is: 101,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,412 : 69,366 = 69,366 : x
  2. Step 2: Convert to fraction form
    47,412/69,366 = 69,366/x
  3. Step 3: Cross multiply
    47,412x = 69,366 × 69,366
  4. Step 4: Simplify right side
    47,412x = 4,811,641,956
  5. Step 5: Solve for x
    x = 4,811,641,956/47,412
  6. Step 6: Final answer
    x = 101,485.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.