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Finding the Third Proportional to 936.70 and 1,905.68

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Solution

The third proportional to 936.70 and 1,905.68 is: 3,877.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.70 : 1,905.68 = 1,905.68 : x
  2. Step 2: Convert to fraction form
    936.70/1,905.68 = 1,905.68/x
  3. Step 3: Cross multiply
    936.70x = 1,905.68 × 1,905.68
  4. Step 4: Simplify right side
    936.70x = 3,631,615.07
  5. Step 5: Solve for x
    x = 3,631,615.07/936.70
  6. Step 6: Final answer
    x = 3,877.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.