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Finding the Third Proportional to 17,008.50 and 22,383

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Solution

The third proportional to 17,008.50 and 22,383 is: 29,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,008.50 : 22,383 = 22,383 : x
  2. Step 2: Convert to fraction form
    17,008.50/22,383 = 22,383/x
  3. Step 3: Cross multiply
    17,008.50x = 22,383 × 22,383
  4. Step 4: Simplify right side
    17,008.50x = 500,998,689
  5. Step 5: Solve for x
    x = 500,998,689/17,008.50
  6. Step 6: Final answer
    x = 29,455.78

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.