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Finding the Third Proportional to 10,012 and 23,203

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Solution

The third proportional to 10,012 and 23,203 is: 53,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012 : 23,203 = 23,203 : x
  2. Step 2: Convert to fraction form
    10,012/23,203 = 23,203/x
  3. Step 3: Cross multiply
    10,012x = 23,203 × 23,203
  4. Step 4: Simplify right side
    10,012x = 538,379,209
  5. Step 5: Solve for x
    x = 538,379,209/10,012
  6. Step 6: Final answer
    x = 53,773.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.