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Finding the Third Proportional to 4,977.56 and 7,455.94

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Solution

The third proportional to 4,977.56 and 7,455.94 is: 11,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.56 : 7,455.94 = 7,455.94 : x
  2. Step 2: Convert to fraction form
    4,977.56/7,455.94 = 7,455.94/x
  3. Step 3: Cross multiply
    4,977.56x = 7,455.94 × 7,455.94
  4. Step 4: Simplify right side
    4,977.56x = 55,591,004.00
  5. Step 5: Solve for x
    x = 55,591,004.00/4,977.56
  6. Step 6: Final answer
    x = 11,168.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.