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Finding the Third Proportional to 10,957 and 17,890

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Solution

The third proportional to 10,957 and 17,890 is: 29,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957 : 17,890 = 17,890 : x
  2. Step 2: Convert to fraction form
    10,957/17,890 = 17,890/x
  3. Step 3: Cross multiply
    10,957x = 17,890 × 17,890
  4. Step 4: Simplify right side
    10,957x = 320,052,100
  5. Step 5: Solve for x
    x = 320,052,100/10,957
  6. Step 6: Final answer
    x = 29,209.83

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.