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Finding the Third Proportional to 8,045 and 17,215

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Solution

The third proportional to 8,045 and 17,215 is: 36,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045 : 17,215 = 17,215 : x
  2. Step 2: Convert to fraction form
    8,045/17,215 = 17,215/x
  3. Step 3: Cross multiply
    8,045x = 17,215 × 17,215
  4. Step 4: Simplify right side
    8,045x = 296,356,225
  5. Step 5: Solve for x
    x = 296,356,225/8,045
  6. Step 6: Final answer
    x = 36,837.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.