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Finding the Third Proportional to 12,010 and 24,615

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Solution

The third proportional to 12,010 and 24,615 is: 50,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010 : 24,615 = 24,615 : x
  2. Step 2: Convert to fraction form
    12,010/24,615 = 24,615/x
  3. Step 3: Cross multiply
    12,010x = 24,615 × 24,615
  4. Step 4: Simplify right side
    12,010x = 605,898,225
  5. Step 5: Solve for x
    x = 605,898,225/12,010
  6. Step 6: Final answer
    x = 50,449.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.