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Finding the Third Proportional to 9,729 and 11,133

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Solution

The third proportional to 9,729 and 11,133 is: 12,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729 : 11,133 = 11,133 : x
  2. Step 2: Convert to fraction form
    9,729/11,133 = 11,133/x
  3. Step 3: Cross multiply
    9,729x = 11,133 × 11,133
  4. Step 4: Simplify right side
    9,729x = 123,943,689
  5. Step 5: Solve for x
    x = 123,943,689/9,729
  6. Step 6: Final answer
    x = 12,739.61

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.