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Finding the Third Proportional to 8,284 and 12,586

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Solution

The third proportional to 8,284 and 12,586 is: 19,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 12,586 = 12,586 : x
  2. Step 2: Convert to fraction form
    8,284/12,586 = 12,586/x
  3. Step 3: Cross multiply
    8,284x = 12,586 × 12,586
  4. Step 4: Simplify right side
    8,284x = 158,407,396
  5. Step 5: Solve for x
    x = 158,407,396/8,284
  6. Step 6: Final answer
    x = 19,122.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.