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Finding the Third Proportional to 1,825.03 and 2,831.84

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Solution

The third proportional to 1,825.03 and 2,831.84 is: 4,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.03 : 2,831.84 = 2,831.84 : x
  2. Step 2: Convert to fraction form
    1,825.03/2,831.84 = 2,831.84/x
  3. Step 3: Cross multiply
    1,825.03x = 2,831.84 × 2,831.84
  4. Step 4: Simplify right side
    1,825.03x = 8,019,294.78
  5. Step 5: Solve for x
    x = 8,019,294.78/1,825.03
  6. Step 6: Final answer
    x = 4,394.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.