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Finding the Third Proportional to 10,821.09 and 11,914.59

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Solution

The third proportional to 10,821.09 and 11,914.59 is: 13,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.09 : 11,914.59 = 11,914.59 : x
  2. Step 2: Convert to fraction form
    10,821.09/11,914.59 = 11,914.59/x
  3. Step 3: Cross multiply
    10,821.09x = 11,914.59 × 11,914.59
  4. Step 4: Simplify right side
    10,821.09x = 141,957,544.23
  5. Step 5: Solve for x
    x = 141,957,544.23/10,821.09
  6. Step 6: Final answer
    x = 13,118.59

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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.