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Finding the Third Proportional to 3,203.30 and 4,968.21

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Solution

The third proportional to 3,203.30 and 4,968.21 is: 7,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.30 : 4,968.21 = 4,968.21 : x
  2. Step 2: Convert to fraction form
    3,203.30/4,968.21 = 4,968.21/x
  3. Step 3: Cross multiply
    3,203.30x = 4,968.21 × 4,968.21
  4. Step 4: Simplify right side
    3,203.30x = 24,683,119.92
  5. Step 5: Solve for x
    x = 24,683,119.92/3,203.30
  6. Step 6: Final answer
    x = 7,705.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.