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Finding the Third Proportional to 5,809 and 6,361

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Solution

The third proportional to 5,809 and 6,361 is: 6,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809 : 6,361 = 6,361 : x
  2. Step 2: Convert to fraction form
    5,809/6,361 = 6,361/x
  3. Step 3: Cross multiply
    5,809x = 6,361 × 6,361
  4. Step 4: Simplify right side
    5,809x = 40,462,321
  5. Step 5: Solve for x
    x = 40,462,321/5,809
  6. Step 6: Final answer
    x = 6,965.45

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.