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Finding the Third Proportional to 17,340 and 19,890

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Solution

The third proportional to 17,340 and 19,890 is: 22,815

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,340 : 19,890 = 19,890 : x
  2. Step 2: Convert to fraction form
    17,340/19,890 = 19,890/x
  3. Step 3: Cross multiply
    17,340x = 19,890 × 19,890
  4. Step 4: Simplify right side
    17,340x = 395,612,100
  5. Step 5: Solve for x
    x = 395,612,100/17,340
  6. Step 6: Final answer
    x = 22,815

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.