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Finding the Third Proportional to 10,204 and 15,640

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Solution

The third proportional to 10,204 and 15,640 is: 23,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204 : 15,640 = 15,640 : x
  2. Step 2: Convert to fraction form
    10,204/15,640 = 15,640/x
  3. Step 3: Cross multiply
    10,204x = 15,640 × 15,640
  4. Step 4: Simplify right side
    10,204x = 244,609,600
  5. Step 5: Solve for x
    x = 244,609,600/10,204
  6. Step 6: Final answer
    x = 23,971.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.