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Finding the Third Proportional to 1,889.94 and 4,008.63

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Solution

The third proportional to 1,889.94 and 4,008.63 is: 8,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.94 : 4,008.63 = 4,008.63 : x
  2. Step 2: Convert to fraction form
    1,889.94/4,008.63 = 4,008.63/x
  3. Step 3: Cross multiply
    1,889.94x = 4,008.63 × 4,008.63
  4. Step 4: Simplify right side
    1,889.94x = 16,069,074.39
  5. Step 5: Solve for x
    x = 16,069,074.39/1,889.94
  6. Step 6: Final answer
    x = 8,502.44

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.