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Finding the Third Proportional to 17,947 and 38,637

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Solution

The third proportional to 17,947 and 38,637 is: 83,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,947 : 38,637 = 38,637 : x
  2. Step 2: Convert to fraction form
    17,947/38,637 = 38,637/x
  3. Step 3: Cross multiply
    17,947x = 38,637 × 38,637
  4. Step 4: Simplify right side
    17,947x = 1,492,817,769
  5. Step 5: Solve for x
    x = 1,492,817,769/17,947
  6. Step 6: Final answer
    x = 83,179.24

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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.