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Finding the Third Proportional to 3,243.80 and 4,914.42

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Solution

The third proportional to 3,243.80 and 4,914.42 is: 7,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.80 : 4,914.42 = 4,914.42 : x
  2. Step 2: Convert to fraction form
    3,243.80/4,914.42 = 4,914.42/x
  3. Step 3: Cross multiply
    3,243.80x = 4,914.42 × 4,914.42
  4. Step 4: Simplify right side
    3,243.80x = 24,151,542.37
  5. Step 5: Solve for x
    x = 24,151,542.37/3,243.80
  6. Step 6: Final answer
    x = 7,445.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.