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Finding the Third Proportional to 6,341 and 13,087

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Solution

The third proportional to 6,341 and 13,087 is: 27,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341 : 13,087 = 13,087 : x
  2. Step 2: Convert to fraction form
    6,341/13,087 = 13,087/x
  3. Step 3: Cross multiply
    6,341x = 13,087 × 13,087
  4. Step 4: Simplify right side
    6,341x = 171,269,569
  5. Step 5: Solve for x
    x = 171,269,569/6,341
  6. Step 6: Final answer
    x = 27,009.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.