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Finding the Third Proportional to 2,690.44 and 3,851.72

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Solution

The third proportional to 2,690.44 and 3,851.72 is: 5,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.44 : 3,851.72 = 3,851.72 : x
  2. Step 2: Convert to fraction form
    2,690.44/3,851.72 = 3,851.72/x
  3. Step 3: Cross multiply
    2,690.44x = 3,851.72 × 3,851.72
  4. Step 4: Simplify right side
    2,690.44x = 14,835,737.33
  5. Step 5: Solve for x
    x = 14,835,737.33/2,690.44
  6. Step 6: Final answer
    x = 5,514.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.