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Finding the Third Proportional to 923.06 and 1,906.88

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Solution

The third proportional to 923.06 and 1,906.88 is: 3,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.06 : 1,906.88 = 1,906.88 : x
  2. Step 2: Convert to fraction form
    923.06/1,906.88 = 1,906.88/x
  3. Step 3: Cross multiply
    923.06x = 1,906.88 × 1,906.88
  4. Step 4: Simplify right side
    923.06x = 3,636,172.27
  5. Step 5: Solve for x
    x = 3,636,172.27/923.06
  6. Step 6: Final answer
    x = 3,939.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.