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Finding the Third Proportional to 705.75 and 1,831.88

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Solution

The third proportional to 705.75 and 1,831.88 is: 4,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.75 : 1,831.88 = 1,831.88 : x
  2. Step 2: Convert to fraction form
    705.75/1,831.88 = 1,831.88/x
  3. Step 3: Cross multiply
    705.75x = 1,831.88 × 1,831.88
  4. Step 4: Simplify right side
    705.75x = 3,355,766.02
  5. Step 5: Solve for x
    x = 3,355,766.02/705.75
  6. Step 6: Final answer
    x = 4,754.89

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.