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Finding the Third Proportional to 3,518.44 and 5,302.97

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Solution

The third proportional to 3,518.44 and 5,302.97 is: 7,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.44 : 5,302.97 = 5,302.97 : x
  2. Step 2: Convert to fraction form
    3,518.44/5,302.97 = 5,302.97/x
  3. Step 3: Cross multiply
    3,518.44x = 5,302.97 × 5,302.97
  4. Step 4: Simplify right side
    3,518.44x = 28,121,477.56
  5. Step 5: Solve for x
    x = 28,121,477.56/3,518.44
  6. Step 6: Final answer
    x = 7,992.60

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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.