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Finding the Third Proportional to 1,831.88 and 2,838.84

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Solution

The third proportional to 1,831.88 and 2,838.84 is: 4,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.88 : 2,838.84 = 2,838.84 : x
  2. Step 2: Convert to fraction form
    1,831.88/2,838.84 = 2,838.84/x
  3. Step 3: Cross multiply
    1,831.88x = 2,838.84 × 2,838.84
  4. Step 4: Simplify right side
    1,831.88x = 8,059,033.84
  5. Step 5: Solve for x
    x = 8,059,033.84/1,831.88
  6. Step 6: Final answer
    x = 4,399.34

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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.