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Finding the Third Proportional to 7,586 and 10,291

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Solution

The third proportional to 7,586 and 10,291 is: 13,960.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586 : 10,291 = 10,291 : x
  2. Step 2: Convert to fraction form
    7,586/10,291 = 10,291/x
  3. Step 3: Cross multiply
    7,586x = 10,291 × 10,291
  4. Step 4: Simplify right side
    7,586x = 105,904,681
  5. Step 5: Solve for x
    x = 105,904,681/7,586
  6. Step 6: Final answer
    x = 13,960.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.