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Finding the Third Proportional to 11,085.61 and 16,743.59

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Solution

The third proportional to 11,085.61 and 16,743.59 is: 25,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085.61 : 16,743.59 = 16,743.59 : x
  2. Step 2: Convert to fraction form
    11,085.61/16,743.59 = 16,743.59/x
  3. Step 3: Cross multiply
    11,085.61x = 16,743.59 × 16,743.59
  4. Step 4: Simplify right side
    11,085.61x = 280,347,670.05
  5. Step 5: Solve for x
    x = 280,347,670.05/11,085.61
  6. Step 6: Final answer
    x = 25,289.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.