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Finding the Third Proportional to 1,226 and 2,683.75

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Solution

The third proportional to 1,226 and 2,683.75 is: 5,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226 : 2,683.75 = 2,683.75 : x
  2. Step 2: Convert to fraction form
    1,226/2,683.75 = 2,683.75/x
  3. Step 3: Cross multiply
    1,226x = 2,683.75 × 2,683.75
  4. Step 4: Simplify right side
    1,226x = 7,202,514.06
  5. Step 5: Solve for x
    x = 7,202,514.06/1,226
  6. Step 6: Final answer
    x = 5,874.81

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Why These Related Problems?

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