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Finding the Third Proportional to 4,933.88 and 7,406.63

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Solution

The third proportional to 4,933.88 and 7,406.63 is: 11,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.88 : 7,406.63 = 7,406.63 : x
  2. Step 2: Convert to fraction form
    4,933.88/7,406.63 = 7,406.63/x
  3. Step 3: Cross multiply
    4,933.88x = 7,406.63 × 7,406.63
  4. Step 4: Simplify right side
    4,933.88x = 54,858,093.89
  5. Step 5: Solve for x
    x = 54,858,093.89/4,933.88
  6. Step 6: Final answer
    x = 11,118.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.