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Finding the Third Proportional to 3,774.56 and 7,923.56

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Solution

The third proportional to 3,774.56 and 7,923.56 is: 16,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.56 : 7,923.56 = 7,923.56 : x
  2. Step 2: Convert to fraction form
    3,774.56/7,923.56 = 7,923.56/x
  3. Step 3: Cross multiply
    3,774.56x = 7,923.56 × 7,923.56
  4. Step 4: Simplify right side
    3,774.56x = 62,782,842.69
  5. Step 5: Solve for x
    x = 62,782,842.69/3,774.56
  6. Step 6: Final answer
    x = 16,633.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.