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Finding the Third Proportional to 17,890 and 39,350

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Solution

The third proportional to 17,890 and 39,350 is: 86,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,890 : 39,350 = 39,350 : x
  2. Step 2: Convert to fraction form
    17,890/39,350 = 39,350/x
  3. Step 3: Cross multiply
    17,890x = 39,350 × 39,350
  4. Step 4: Simplify right side
    17,890x = 1,548,422,500
  5. Step 5: Solve for x
    x = 1,548,422,500/17,890
  6. Step 6: Final answer
    x = 86,552.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.