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Finding the Third Proportional to 3,081.80 and 4,621.43

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Solution

The third proportional to 3,081.80 and 4,621.43 is: 6,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.80 : 4,621.43 = 4,621.43 : x
  2. Step 2: Convert to fraction form
    3,081.80/4,621.43 = 4,621.43/x
  3. Step 3: Cross multiply
    3,081.80x = 4,621.43 × 4,621.43
  4. Step 4: Simplify right side
    3,081.80x = 21,357,612.36
  5. Step 5: Solve for x
    x = 21,357,612.36/3,081.80
  6. Step 6: Final answer
    x = 6,930.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.