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Finding the Third Proportional to 7,590.94 and 16,676.44

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Solution

The third proportional to 7,590.94 and 16,676.44 is: 36,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.94 : 16,676.44 = 16,676.44 : x
  2. Step 2: Convert to fraction form
    7,590.94/16,676.44 = 16,676.44/x
  3. Step 3: Cross multiply
    7,590.94x = 16,676.44 × 16,676.44
  4. Step 4: Simplify right side
    7,590.94x = 278,103,567.69
  5. Step 5: Solve for x
    x = 278,103,567.69/7,590.94
  6. Step 6: Final answer
    x = 36,636.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.