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Finding the Third Proportional to 2,303.44 and 3,374.16

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Solution

The third proportional to 2,303.44 and 3,374.16 is: 4,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.44 : 3,374.16 = 3,374.16 : x
  2. Step 2: Convert to fraction form
    2,303.44/3,374.16 = 3,374.16/x
  3. Step 3: Cross multiply
    2,303.44x = 3,374.16 × 3,374.16
  4. Step 4: Simplify right side
    2,303.44x = 11,384,930.40
  5. Step 5: Solve for x
    x = 11,384,930.40/2,303.44
  6. Step 6: Final answer
    x = 4,942.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.