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Finding the Third Proportional to 4,882.78 and 7,558.31

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Solution

The third proportional to 4,882.78 and 7,558.31 is: 11,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.78 : 7,558.31 = 7,558.31 : x
  2. Step 2: Convert to fraction form
    4,882.78/7,558.31 = 7,558.31/x
  3. Step 3: Cross multiply
    4,882.78x = 7,558.31 × 7,558.31
  4. Step 4: Simplify right side
    4,882.78x = 57,128,087.85
  5. Step 5: Solve for x
    x = 57,128,087.85/4,882.78
  6. Step 6: Final answer
    x = 11,699.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.