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Finding the Third Proportional to 6,306.19 and 13,717.69

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Solution

The third proportional to 6,306.19 and 13,717.69 is: 29,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.19 : 13,717.69 = 13,717.69 : x
  2. Step 2: Convert to fraction form
    6,306.19/13,717.69 = 13,717.69/x
  3. Step 3: Cross multiply
    6,306.19x = 13,717.69 × 13,717.69
  4. Step 4: Simplify right side
    6,306.19x = 188,174,950.35
  5. Step 5: Solve for x
    x = 188,174,950.35/6,306.19
  6. Step 6: Final answer
    x = 29,839.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.