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Finding the Third Proportional to 1,752.19 and 4,094.44

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Solution

The third proportional to 1,752.19 and 4,094.44 is: 9,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.19 : 4,094.44 = 4,094.44 : x
  2. Step 2: Convert to fraction form
    1,752.19/4,094.44 = 4,094.44/x
  3. Step 3: Cross multiply
    1,752.19x = 4,094.44 × 4,094.44
  4. Step 4: Simplify right side
    1,752.19x = 16,764,418.44
  5. Step 5: Solve for x
    x = 16,764,418.44/1,752.19
  6. Step 6: Final answer
    x = 9,567.71

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.