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Finding the Third Proportional to 7,642 and 10,311

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Solution

The third proportional to 7,642 and 10,311 is: 13,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642 : 10,311 = 10,311 : x
  2. Step 2: Convert to fraction form
    7,642/10,311 = 10,311/x
  3. Step 3: Cross multiply
    7,642x = 10,311 × 10,311
  4. Step 4: Simplify right side
    7,642x = 106,316,721
  5. Step 5: Solve for x
    x = 106,316,721/7,642
  6. Step 6: Final answer
    x = 13,912.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.