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Finding the Third Proportional to 923.06 and 1,990.41

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Solution

The third proportional to 923.06 and 1,990.41 is: 4,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.06 : 1,990.41 = 1,990.41 : x
  2. Step 2: Convert to fraction form
    923.06/1,990.41 = 1,990.41/x
  3. Step 3: Cross multiply
    923.06x = 1,990.41 × 1,990.41
  4. Step 4: Simplify right side
    923.06x = 3,961,717.04
  5. Step 5: Solve for x
    x = 3,961,717.04/923.06
  6. Step 6: Final answer
    x = 4,291.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.