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Finding the Third Proportional to 19,973 and 47,494

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Solution

The third proportional to 19,973 and 47,494 is: 112,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973 : 47,494 = 47,494 : x
  2. Step 2: Convert to fraction form
    19,973/47,494 = 47,494/x
  3. Step 3: Cross multiply
    19,973x = 47,494 × 47,494
  4. Step 4: Simplify right side
    19,973x = 2,255,680,036
  5. Step 5: Solve for x
    x = 2,255,680,036/19,973
  6. Step 6: Final answer
    x = 112,936.47

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.