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Finding the Third Proportional to 5,986 and 9,775

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Solution

The third proportional to 5,986 and 9,775 is: 15,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986 : 9,775 = 9,775 : x
  2. Step 2: Convert to fraction form
    5,986/9,775 = 9,775/x
  3. Step 3: Cross multiply
    5,986x = 9,775 × 9,775
  4. Step 4: Simplify right side
    5,986x = 95,550,625
  5. Step 5: Solve for x
    x = 95,550,625/5,986
  6. Step 6: Final answer
    x = 15,962.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.