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Finding the Third Proportional to 3,805.89 and 8,303.77

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Solution

The third proportional to 3,805.89 and 8,303.77 is: 18,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.89 : 8,303.77 = 8,303.77 : x
  2. Step 2: Convert to fraction form
    3,805.89/8,303.77 = 8,303.77/x
  3. Step 3: Cross multiply
    3,805.89x = 8,303.77 × 8,303.77
  4. Step 4: Simplify right side
    3,805.89x = 68,952,523.55
  5. Step 5: Solve for x
    x = 68,952,523.55/3,805.89
  6. Step 6: Final answer
    x = 18,117.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.