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Finding the Third Proportional to 5,745.94 and 9,165.66

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Solution

The third proportional to 5,745.94 and 9,165.66 is: 14,620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.94 : 9,165.66 = 9,165.66 : x
  2. Step 2: Convert to fraction form
    5,745.94/9,165.66 = 9,165.66/x
  3. Step 3: Cross multiply
    5,745.94x = 9,165.66 × 9,165.66
  4. Step 4: Simplify right side
    5,745.94x = 84,009,254.49
  5. Step 5: Solve for x
    x = 84,009,254.49/5,745.94
  6. Step 6: Final answer
    x = 14,620.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.