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Finding the Third Proportional to 3,362.63 and 7,049.25

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Solution

The third proportional to 3,362.63 and 7,049.25 is: 14,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.63 : 7,049.25 = 7,049.25 : x
  2. Step 2: Convert to fraction form
    3,362.63/7,049.25 = 7,049.25/x
  3. Step 3: Cross multiply
    3,362.63x = 7,049.25 × 7,049.25
  4. Step 4: Simplify right side
    3,362.63x = 49,691,925.56
  5. Step 5: Solve for x
    x = 49,691,925.56/3,362.63
  6. Step 6: Final answer
    x = 14,777.72

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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.