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Finding the Third Proportional to 3,234.75 and 4,994.25

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Solution

The third proportional to 3,234.75 and 4,994.25 is: 7,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.75 : 4,994.25 = 4,994.25 : x
  2. Step 2: Convert to fraction form
    3,234.75/4,994.25 = 4,994.25/x
  3. Step 3: Cross multiply
    3,234.75x = 4,994.25 × 4,994.25
  4. Step 4: Simplify right side
    3,234.75x = 24,942,533.06
  5. Step 5: Solve for x
    x = 24,942,533.06/3,234.75
  6. Step 6: Final answer
    x = 7,710.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.