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Finding the Third Proportional to 3,277.55 and 4,857.89

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Solution

The third proportional to 3,277.55 and 4,857.89 is: 7,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.55 : 4,857.89 = 4,857.89 : x
  2. Step 2: Convert to fraction form
    3,277.55/4,857.89 = 4,857.89/x
  3. Step 3: Cross multiply
    3,277.55x = 4,857.89 × 4,857.89
  4. Step 4: Simplify right side
    3,277.55x = 23,599,101.32
  5. Step 5: Solve for x
    x = 23,599,101.32/3,277.55
  6. Step 6: Final answer
    x = 7,200.23

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.