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Finding the Third Proportional to 2,339.72 and 5,003.44

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Solution

The third proportional to 2,339.72 and 5,003.44 is: 10,699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.72 : 5,003.44 = 5,003.44 : x
  2. Step 2: Convert to fraction form
    2,339.72/5,003.44 = 5,003.44/x
  3. Step 3: Cross multiply
    2,339.72x = 5,003.44 × 5,003.44
  4. Step 4: Simplify right side
    2,339.72x = 25,034,386.82
  5. Step 5: Solve for x
    x = 25,034,386.82/2,339.72
  6. Step 6: Final answer
    x = 10,699.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.