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Finding the Third Proportional to 2,399.63 and 5,243.63

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Solution

The third proportional to 2,399.63 and 5,243.63 is: 11,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.63 : 5,243.63 = 5,243.63 : x
  2. Step 2: Convert to fraction form
    2,399.63/5,243.63 = 5,243.63/x
  3. Step 3: Cross multiply
    2,399.63x = 5,243.63 × 5,243.63
  4. Step 4: Simplify right side
    2,399.63x = 27,495,603.14
  5. Step 5: Solve for x
    x = 27,495,603.14/2,399.63
  6. Step 6: Final answer
    x = 11,458.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.