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Finding the Third Proportional to 17,780 and 27,890

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Solution

The third proportional to 17,780 and 27,890 is: 43,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780 : 27,890 = 27,890 : x
  2. Step 2: Convert to fraction form
    17,780/27,890 = 27,890/x
  3. Step 3: Cross multiply
    17,780x = 27,890 × 27,890
  4. Step 4: Simplify right side
    17,780x = 777,852,100
  5. Step 5: Solve for x
    x = 777,852,100/17,780
  6. Step 6: Final answer
    x = 43,748.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.