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Finding the Third Proportional to 7,697 and 16,853.50

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Solution

The third proportional to 7,697 and 16,853.50 is: 36,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697 : 16,853.50 = 16,853.50 : x
  2. Step 2: Convert to fraction form
    7,697/16,853.50 = 16,853.50/x
  3. Step 3: Cross multiply
    7,697x = 16,853.50 × 16,853.50
  4. Step 4: Simplify right side
    7,697x = 284,040,462.25
  5. Step 5: Solve for x
    x = 284,040,462.25/7,697
  6. Step 6: Final answer
    x = 36,902.75

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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.