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Finding the Third Proportional to 3,559.94 and 7,805.44

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Solution

The third proportional to 3,559.94 and 7,805.44 is: 17,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.94 : 7,805.44 = 7,805.44 : x
  2. Step 2: Convert to fraction form
    3,559.94/7,805.44 = 7,805.44/x
  3. Step 3: Cross multiply
    3,559.94x = 7,805.44 × 7,805.44
  4. Step 4: Simplify right side
    3,559.94x = 60,924,854.57
  5. Step 5: Solve for x
    x = 60,924,854.57/3,559.94
  6. Step 6: Final answer
    x = 17,114.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.