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Finding the Third Proportional to 3,802.78 and 8,143.03

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Solution

The third proportional to 3,802.78 and 8,143.03 is: 17,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.78 : 8,143.03 = 8,143.03 : x
  2. Step 2: Convert to fraction form
    3,802.78/8,143.03 = 8,143.03/x
  3. Step 3: Cross multiply
    3,802.78x = 8,143.03 × 8,143.03
  4. Step 4: Simplify right side
    3,802.78x = 66,308,957.94
  5. Step 5: Solve for x
    x = 66,308,957.94/3,802.78
  6. Step 6: Final answer
    x = 17,436.96

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