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Finding the Third Proportional to 3,977.23 and 8,548.66

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Solution

The third proportional to 3,977.23 and 8,548.66 is: 18,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.23 : 8,548.66 = 8,548.66 : x
  2. Step 2: Convert to fraction form
    3,977.23/8,548.66 = 8,548.66/x
  3. Step 3: Cross multiply
    3,977.23x = 8,548.66 × 8,548.66
  4. Step 4: Simplify right side
    3,977.23x = 73,079,657.25
  5. Step 5: Solve for x
    x = 73,079,657.25/3,977.23
  6. Step 6: Final answer
    x = 18,374.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.