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Finding the Third Proportional to 17,392.50 and 37,890

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Solution

The third proportional to 17,392.50 and 37,890 is: 82,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,392.50 : 37,890 = 37,890 : x
  2. Step 2: Convert to fraction form
    17,392.50/37,890 = 37,890/x
  3. Step 3: Cross multiply
    17,392.50x = 37,890 × 37,890
  4. Step 4: Simplify right side
    17,392.50x = 1,435,652,100
  5. Step 5: Solve for x
    x = 1,435,652,100/17,392.50
  6. Step 6: Final answer
    x = 82,544.32

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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.