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Finding the Third Proportional to 1,269.11 and 1,890.21

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Solution

The third proportional to 1,269.11 and 1,890.21 is: 2,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.11 : 1,890.21 = 1,890.21 : x
  2. Step 2: Convert to fraction form
    1,269.11/1,890.21 = 1,890.21/x
  3. Step 3: Cross multiply
    1,269.11x = 1,890.21 × 1,890.21
  4. Step 4: Simplify right side
    1,269.11x = 3,572,897.39
  5. Step 5: Solve for x
    x = 3,572,897.39/1,269.11
  6. Step 6: Final answer
    x = 2,815.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.