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Finding the Third Proportional to 4,186 and 6,531

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Solution

The third proportional to 4,186 and 6,531 is: 10,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186 : 6,531 = 6,531 : x
  2. Step 2: Convert to fraction form
    4,186/6,531 = 6,531/x
  3. Step 3: Cross multiply
    4,186x = 6,531 × 6,531
  4. Step 4: Simplify right side
    4,186x = 42,653,961
  5. Step 5: Solve for x
    x = 42,653,961/4,186
  6. Step 6: Final answer
    x = 10,189.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.