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Finding the Third Proportional to 9,984.94 and 11,017.69

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Solution

The third proportional to 9,984.94 and 11,017.69 is: 12,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.94 : 11,017.69 = 11,017.69 : x
  2. Step 2: Convert to fraction form
    9,984.94/11,017.69 = 11,017.69/x
  3. Step 3: Cross multiply
    9,984.94x = 11,017.69 × 11,017.69
  4. Step 4: Simplify right side
    9,984.94x = 121,389,437.85
  5. Step 5: Solve for x
    x = 121,389,437.85/9,984.94
  6. Step 6: Final answer
    x = 12,157.26

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