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Finding the Third Proportional to 5,916 and 6,834

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Solution

The third proportional to 5,916 and 6,834 is: 7,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916 : 6,834 = 6,834 : x
  2. Step 2: Convert to fraction form
    5,916/6,834 = 6,834/x
  3. Step 3: Cross multiply
    5,916x = 6,834 × 6,834
  4. Step 4: Simplify right side
    5,916x = 46,703,556
  5. Step 5: Solve for x
    x = 46,703,556/5,916
  6. Step 6: Final answer
    x = 7,894.45

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.