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Finding the Third Proportional to 834.75 and 1,831.50

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Solution

The third proportional to 834.75 and 1,831.50 is: 4,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.75 : 1,831.50 = 1,831.50 : x
  2. Step 2: Convert to fraction form
    834.75/1,831.50 = 1,831.50/x
  3. Step 3: Cross multiply
    834.75x = 1,831.50 × 1,831.50
  4. Step 4: Simplify right side
    834.75x = 3,354,392.25
  5. Step 5: Solve for x
    x = 3,354,392.25/834.75
  6. Step 6: Final answer
    x = 4,018.44

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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.