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Finding the Third Proportional to 4,166 and 6,523

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Solution

The third proportional to 4,166 and 6,523 is: 10,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166 : 6,523 = 6,523 : x
  2. Step 2: Convert to fraction form
    4,166/6,523 = 6,523/x
  3. Step 3: Cross multiply
    4,166x = 6,523 × 6,523
  4. Step 4: Simplify right side
    4,166x = 42,549,529
  5. Step 5: Solve for x
    x = 42,549,529/4,166
  6. Step 6: Final answer
    x = 10,213.52

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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.