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Finding the Third Proportional to 9,086 and 9,734

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Solution

The third proportional to 9,086 and 9,734 is: 10,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086 : 9,734 = 9,734 : x
  2. Step 2: Convert to fraction form
    9,086/9,734 = 9,734/x
  3. Step 3: Cross multiply
    9,086x = 9,734 × 9,734
  4. Step 4: Simplify right side
    9,086x = 94,750,756
  5. Step 5: Solve for x
    x = 94,750,756/9,086
  6. Step 6: Final answer
    x = 10,428.21

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.