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Finding the Third Proportional to 28,613 and 38,203

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Solution

The third proportional to 28,613 and 38,203 is: 51,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,613 : 38,203 = 38,203 : x
  2. Step 2: Convert to fraction form
    28,613/38,203 = 38,203/x
  3. Step 3: Cross multiply
    28,613x = 38,203 × 38,203
  4. Step 4: Simplify right side
    28,613x = 1,459,469,209
  5. Step 5: Solve for x
    x = 1,459,469,209/28,613
  6. Step 6: Final answer
    x = 51,007.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.