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Finding the Third Proportional to 7,676.75 and 16,814.75

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Solution

The third proportional to 7,676.75 and 16,814.75 is: 36,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.75 : 16,814.75 = 16,814.75 : x
  2. Step 2: Convert to fraction form
    7,676.75/16,814.75 = 16,814.75/x
  3. Step 3: Cross multiply
    7,676.75x = 16,814.75 × 16,814.75
  4. Step 4: Simplify right side
    7,676.75x = 282,735,817.56
  5. Step 5: Solve for x
    x = 282,735,817.56/7,676.75
  6. Step 6: Final answer
    x = 36,830.15

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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.