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Finding the Third Proportional to 6,329.20 and 13,849.77

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Solution

The third proportional to 6,329.20 and 13,849.77 is: 30,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.20 : 13,849.77 = 13,849.77 : x
  2. Step 2: Convert to fraction form
    6,329.20/13,849.77 = 13,849.77/x
  3. Step 3: Cross multiply
    6,329.20x = 13,849.77 × 13,849.77
  4. Step 4: Simplify right side
    6,329.20x = 191,816,116.07
  5. Step 5: Solve for x
    x = 191,816,116.07/6,329.20
  6. Step 6: Final answer
    x = 30,306.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.