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Finding the Third Proportional to 7,797 and 16,706

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Solution

The third proportional to 7,797 and 16,706 is: 35,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797 : 16,706 = 16,706 : x
  2. Step 2: Convert to fraction form
    7,797/16,706 = 16,706/x
  3. Step 3: Cross multiply
    7,797x = 16,706 × 16,706
  4. Step 4: Simplify right side
    7,797x = 279,090,436
  5. Step 5: Solve for x
    x = 279,090,436/7,797
  6. Step 6: Final answer
    x = 35,794.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.