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Finding the Third Proportional to 17,973 and 38,673

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Solution

The third proportional to 17,973 and 38,673 is: 83,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973 : 38,673 = 38,673 : x
  2. Step 2: Convert to fraction form
    17,973/38,673 = 38,673/x
  3. Step 3: Cross multiply
    17,973x = 38,673 × 38,673
  4. Step 4: Simplify right side
    17,973x = 1,495,600,929
  5. Step 5: Solve for x
    x = 1,495,600,929/17,973
  6. Step 6: Final answer
    x = 83,213.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.