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Finding the Third Proportional to 9,837 and 11,133

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Solution

The third proportional to 9,837 and 11,133 is: 12,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837 : 11,133 = 11,133 : x
  2. Step 2: Convert to fraction form
    9,837/11,133 = 11,133/x
  3. Step 3: Cross multiply
    9,837x = 11,133 × 11,133
  4. Step 4: Simplify right side
    9,837x = 123,943,689
  5. Step 5: Solve for x
    x = 123,943,689/9,837
  6. Step 6: Final answer
    x = 12,599.74

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.