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Finding the Third Proportional to 6,571 and 15,196

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Solution

The third proportional to 6,571 and 15,196 is: 35,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571 : 15,196 = 15,196 : x
  2. Step 2: Convert to fraction form
    6,571/15,196 = 15,196/x
  3. Step 3: Cross multiply
    6,571x = 15,196 × 15,196
  4. Step 4: Simplify right side
    6,571x = 230,918,416
  5. Step 5: Solve for x
    x = 230,918,416/6,571
  6. Step 6: Final answer
    x = 35,142.05

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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.