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Finding the Third Proportional to 17,008.78 and 23,795.24

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Solution

The third proportional to 17,008.78 and 23,795.24 is: 33,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,008.78 : 23,795.24 = 23,795.24 : x
  2. Step 2: Convert to fraction form
    17,008.78/23,795.24 = 23,795.24/x
  3. Step 3: Cross multiply
    17,008.78x = 23,795.24 × 23,795.24
  4. Step 4: Simplify right side
    17,008.78x = 566,213,356.15
  5. Step 5: Solve for x
    x = 566,213,356.15/17,008.78
  6. Step 6: Final answer
    x = 33,289.47

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.