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Finding the Third Proportional to 10,524 and 23,027

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Solution

The third proportional to 10,524 and 23,027 is: 50,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524 : 23,027 = 23,027 : x
  2. Step 2: Convert to fraction form
    10,524/23,027 = 23,027/x
  3. Step 3: Cross multiply
    10,524x = 23,027 × 23,027
  4. Step 4: Simplify right side
    10,524x = 530,242,729
  5. Step 5: Solve for x
    x = 530,242,729/10,524
  6. Step 6: Final answer
    x = 50,384.14

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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.