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Finding the Third Proportional to 17,405 and 37,947

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Solution

The third proportional to 17,405 and 37,947 is: 82,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,405 : 37,947 = 37,947 : x
  2. Step 2: Convert to fraction form
    17,405/37,947 = 37,947/x
  3. Step 3: Cross multiply
    17,405x = 37,947 × 37,947
  4. Step 4: Simplify right side
    17,405x = 1,439,974,809
  5. Step 5: Solve for x
    x = 1,439,974,809/17,405
  6. Step 6: Final answer
    x = 82,733.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.