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Finding the Third Proportional to 6,780.38 and 14,299.88

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Solution

The third proportional to 6,780.38 and 14,299.88 is: 30,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.38 : 14,299.88 = 14,299.88 : x
  2. Step 2: Convert to fraction form
    6,780.38/14,299.88 = 14,299.88/x
  3. Step 3: Cross multiply
    6,780.38x = 14,299.88 × 14,299.88
  4. Step 4: Simplify right side
    6,780.38x = 204,486,425.02
  5. Step 5: Solve for x
    x = 204,486,425.02/6,780.38
  6. Step 6: Final answer
    x = 30,158.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.