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Finding the Third Proportional to 6,188 and 12,586

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Solution

The third proportional to 6,188 and 12,586 is: 25,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188 : 12,586 = 12,586 : x
  2. Step 2: Convert to fraction form
    6,188/12,586 = 12,586/x
  3. Step 3: Cross multiply
    6,188x = 12,586 × 12,586
  4. Step 4: Simplify right side
    6,188x = 158,407,396
  5. Step 5: Solve for x
    x = 158,407,396/6,188
  6. Step 6: Final answer
    x = 25,599.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.