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Finding the Third Proportional to 4,653.07 and 7,087.82

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Solution

The third proportional to 4,653.07 and 7,087.82 is: 10,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.07 : 7,087.82 = 7,087.82 : x
  2. Step 2: Convert to fraction form
    4,653.07/7,087.82 = 7,087.82/x
  3. Step 3: Cross multiply
    4,653.07x = 7,087.82 × 7,087.82
  4. Step 4: Simplify right side
    4,653.07x = 50,237,141.41
  5. Step 5: Solve for x
    x = 50,237,141.41/4,653.07
  6. Step 6: Final answer
    x = 10,796.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.