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Finding the Third Proportional to 6,583.78 and 7,686.56

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Solution

The third proportional to 6,583.78 and 7,686.56 is: 8,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.78 : 7,686.56 = 7,686.56 : x
  2. Step 2: Convert to fraction form
    6,583.78/7,686.56 = 7,686.56/x
  3. Step 3: Cross multiply
    6,583.78x = 7,686.56 × 7,686.56
  4. Step 4: Simplify right side
    6,583.78x = 59,083,243.07
  5. Step 5: Solve for x
    x = 59,083,243.07/6,583.78
  6. Step 6: Final answer
    x = 8,974.06

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.