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Finding the Third Proportional to 17,574.75 and 37,917

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Solution

The third proportional to 17,574.75 and 37,917 is: 81,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574.75 : 37,917 = 37,917 : x
  2. Step 2: Convert to fraction form
    17,574.75/37,917 = 37,917/x
  3. Step 3: Cross multiply
    17,574.75x = 37,917 × 37,917
  4. Step 4: Simplify right side
    17,574.75x = 1,437,698,889
  5. Step 5: Solve for x
    x = 1,437,698,889/17,574.75
  6. Step 6: Final answer
    x = 81,804.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.