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Finding the Third Proportional to 2,249.44 and 4,730.06

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Solution

The third proportional to 2,249.44 and 4,730.06 is: 9,946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.44 : 4,730.06 = 4,730.06 : x
  2. Step 2: Convert to fraction form
    2,249.44/4,730.06 = 4,730.06/x
  3. Step 3: Cross multiply
    2,249.44x = 4,730.06 × 4,730.06
  4. Step 4: Simplify right side
    2,249.44x = 22,373,491.25
  5. Step 5: Solve for x
    x = 22,373,491.25/2,249.44
  6. Step 6: Final answer
    x = 9,946.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.