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Finding the Third Proportional to 8,072 and 17,203

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Solution

The third proportional to 8,072 and 17,203 is: 36,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072 : 17,203 = 17,203 : x
  2. Step 2: Convert to fraction form
    8,072/17,203 = 17,203/x
  3. Step 3: Cross multiply
    8,072x = 17,203 × 17,203
  4. Step 4: Simplify right side
    8,072x = 295,943,209
  5. Step 5: Solve for x
    x = 295,943,209/8,072
  6. Step 6: Final answer
    x = 36,662.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.