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Finding the Third Proportional to 4,619 and 10,102

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Solution

The third proportional to 4,619 and 10,102 is: 22,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619 : 10,102 = 10,102 : x
  2. Step 2: Convert to fraction form
    4,619/10,102 = 10,102/x
  3. Step 3: Cross multiply
    4,619x = 10,102 × 10,102
  4. Step 4: Simplify right side
    4,619x = 102,050,404
  5. Step 5: Solve for x
    x = 102,050,404/4,619
  6. Step 6: Final answer
    x = 22,093.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.