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Finding the Third Proportional to 16,504 and 38,947

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Solution

The third proportional to 16,504 and 38,947 is: 91,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504 : 38,947 = 38,947 : x
  2. Step 2: Convert to fraction form
    16,504/38,947 = 38,947/x
  3. Step 3: Cross multiply
    16,504x = 38,947 × 38,947
  4. Step 4: Simplify right side
    16,504x = 1,516,868,809
  5. Step 5: Solve for x
    x = 1,516,868,809/16,504
  6. Step 6: Final answer
    x = 91,909.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.