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Finding the Third Proportional to 8,027 and 17,362

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Solution

The third proportional to 8,027 and 17,362 is: 37,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027 : 17,362 = 17,362 : x
  2. Step 2: Convert to fraction form
    8,027/17,362 = 17,362/x
  3. Step 3: Cross multiply
    8,027x = 17,362 × 17,362
  4. Step 4: Simplify right side
    8,027x = 301,439,044
  5. Step 5: Solve for x
    x = 301,439,044/8,027
  6. Step 6: Final answer
    x = 37,553.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.