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Finding the Third Proportional to 2,517.33 and 3,798.77

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Solution

The third proportional to 2,517.33 and 3,798.77 is: 5,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.33 : 3,798.77 = 3,798.77 : x
  2. Step 2: Convert to fraction form
    2,517.33/3,798.77 = 3,798.77/x
  3. Step 3: Cross multiply
    2,517.33x = 3,798.77 × 3,798.77
  4. Step 4: Simplify right side
    2,517.33x = 14,430,679.63
  5. Step 5: Solve for x
    x = 14,430,679.63/2,517.33
  6. Step 6: Final answer
    x = 5,732.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.