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Finding the Third Proportional to 3,101.63 and 4,993.31

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Solution

The third proportional to 3,101.63 and 4,993.31 is: 8,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.63 : 4,993.31 = 4,993.31 : x
  2. Step 2: Convert to fraction form
    3,101.63/4,993.31 = 4,993.31/x
  3. Step 3: Cross multiply
    3,101.63x = 4,993.31 × 4,993.31
  4. Step 4: Simplify right side
    3,101.63x = 24,933,169.72
  5. Step 5: Solve for x
    x = 24,933,169.72/3,101.63
  6. Step 6: Final answer
    x = 8,038.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.