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Finding the Third Proportional to 11,806.88 and 25,690.50

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Solution

The third proportional to 11,806.88 and 25,690.50 is: 55,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.88 : 25,690.50 = 25,690.50 : x
  2. Step 2: Convert to fraction form
    11,806.88/25,690.50 = 25,690.50/x
  3. Step 3: Cross multiply
    11,806.88x = 25,690.50 × 25,690.50
  4. Step 4: Simplify right side
    11,806.88x = 660,001,790.25
  5. Step 5: Solve for x
    x = 660,001,790.25/11,806.88
  6. Step 6: Final answer
    x = 55,899.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.