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Finding the Third Proportional to 3,306.94 and 4,534.88

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Solution

The third proportional to 3,306.94 and 4,534.88 is: 6,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.94 : 4,534.88 = 4,534.88 : x
  2. Step 2: Convert to fraction form
    3,306.94/4,534.88 = 4,534.88/x
  3. Step 3: Cross multiply
    3,306.94x = 4,534.88 × 4,534.88
  4. Step 4: Simplify right side
    3,306.94x = 20,565,091.27
  5. Step 5: Solve for x
    x = 20,565,091.27/3,306.94
  6. Step 6: Final answer
    x = 6,218.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.