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Finding the Third Proportional to 6,884 and 15,890

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Solution

The third proportional to 6,884 and 15,890 is: 36,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884 : 15,890 = 15,890 : x
  2. Step 2: Convert to fraction form
    6,884/15,890 = 15,890/x
  3. Step 3: Cross multiply
    6,884x = 15,890 × 15,890
  4. Step 4: Simplify right side
    6,884x = 252,492,100
  5. Step 5: Solve for x
    x = 252,492,100/6,884
  6. Step 6: Final answer
    x = 36,678.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.