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Finding the Third Proportional to 19,494 and 47,137

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Solution

The third proportional to 19,494 and 47,137 is: 113,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494 : 47,137 = 47,137 : x
  2. Step 2: Convert to fraction form
    19,494/47,137 = 47,137/x
  3. Step 3: Cross multiply
    19,494x = 47,137 × 47,137
  4. Step 4: Simplify right side
    19,494x = 2,221,896,769
  5. Step 5: Solve for x
    x = 2,221,896,769/19,494
  6. Step 6: Final answer
    x = 113,978.49

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.