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Finding the Third Proportional to 15,947 and 33,717

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Solution

The third proportional to 15,947 and 33,717 is: 71,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,947 : 33,717 = 33,717 : x
  2. Step 2: Convert to fraction form
    15,947/33,717 = 33,717/x
  3. Step 3: Cross multiply
    15,947x = 33,717 × 33,717
  4. Step 4: Simplify right side
    15,947x = 1,136,836,089
  5. Step 5: Solve for x
    x = 1,136,836,089/15,947
  6. Step 6: Final answer
    x = 71,288.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.