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Finding the Third Proportional to 2,303.44 and 4,743.56

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Solution

The third proportional to 2,303.44 and 4,743.56 is: 9,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.44 : 4,743.56 = 4,743.56 : x
  2. Step 2: Convert to fraction form
    2,303.44/4,743.56 = 4,743.56/x
  3. Step 3: Cross multiply
    2,303.44x = 4,743.56 × 4,743.56
  4. Step 4: Simplify right side
    2,303.44x = 22,501,385.19
  5. Step 5: Solve for x
    x = 22,501,385.19/2,303.44
  6. Step 6: Final answer
    x = 9,768.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.