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Finding the Third Proportional to 2,039.63 and 4,254.94

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Solution

The third proportional to 2,039.63 and 4,254.94 is: 8,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.63 : 4,254.94 = 4,254.94 : x
  2. Step 2: Convert to fraction form
    2,039.63/4,254.94 = 4,254.94/x
  3. Step 3: Cross multiply
    2,039.63x = 4,254.94 × 4,254.94
  4. Step 4: Simplify right side
    2,039.63x = 18,104,493.13
  5. Step 5: Solve for x
    x = 18,104,493.13/2,039.63
  6. Step 6: Final answer
    x = 8,876.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.