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Finding the Third Proportional to 3,267.75 and 4,978.88

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Solution

The third proportional to 3,267.75 and 4,978.88 is: 7,586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.75 : 4,978.88 = 4,978.88 : x
  2. Step 2: Convert to fraction form
    3,267.75/4,978.88 = 4,978.88/x
  3. Step 3: Cross multiply
    3,267.75x = 4,978.88 × 4,978.88
  4. Step 4: Simplify right side
    3,267.75x = 24,789,196.27
  5. Step 5: Solve for x
    x = 24,789,196.27/3,267.75
  6. Step 6: Final answer
    x = 7,586.01

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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.