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Finding the Third Proportional to 17,787.75 and 23,802.75

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Solution

The third proportional to 17,787.75 and 23,802.75 is: 31,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.75 : 23,802.75 = 23,802.75 : x
  2. Step 2: Convert to fraction form
    17,787.75/23,802.75 = 23,802.75/x
  3. Step 3: Cross multiply
    17,787.75x = 23,802.75 × 23,802.75
  4. Step 4: Simplify right side
    17,787.75x = 566,570,907.56
  5. Step 5: Solve for x
    x = 566,570,907.56/17,787.75
  6. Step 6: Final answer
    x = 31,851.75

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.