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Finding the Third Proportional to 2,851.03 and 4,077.42

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Solution

The third proportional to 2,851.03 and 4,077.42 is: 5,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.03 : 4,077.42 = 4,077.42 : x
  2. Step 2: Convert to fraction form
    2,851.03/4,077.42 = 4,077.42/x
  3. Step 3: Cross multiply
    2,851.03x = 4,077.42 × 4,077.42
  4. Step 4: Simplify right side
    2,851.03x = 16,625,369.15
  5. Step 5: Solve for x
    x = 16,625,369.15/2,851.03
  6. Step 6: Final answer
    x = 5,831.35

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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.