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Finding the Third Proportional to 8,396 and 11,570

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Solution

The third proportional to 8,396 and 11,570 is: 15,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396 : 11,570 = 11,570 : x
  2. Step 2: Convert to fraction form
    8,396/11,570 = 11,570/x
  3. Step 3: Cross multiply
    8,396x = 11,570 × 11,570
  4. Step 4: Simplify right side
    8,396x = 133,864,900
  5. Step 5: Solve for x
    x = 133,864,900/8,396
  6. Step 6: Final answer
    x = 15,943.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.