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Finding the Third Proportional to 923.25 and 1,974.63

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Solution

The third proportional to 923.25 and 1,974.63 is: 4,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.25 : 1,974.63 = 1,974.63 : x
  2. Step 2: Convert to fraction form
    923.25/1,974.63 = 1,974.63/x
  3. Step 3: Cross multiply
    923.25x = 1,974.63 × 1,974.63
  4. Step 4: Simplify right side
    923.25x = 3,899,143.89
  5. Step 5: Solve for x
    x = 3,899,143.89/923.25
  6. Step 6: Final answer
    x = 4,223.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.