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Finding the Third Proportional to 1,938.94 and 4,604.34

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Solution

The third proportional to 1,938.94 and 4,604.34 is: 10,933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.94 : 4,604.34 = 4,604.34 : x
  2. Step 2: Convert to fraction form
    1,938.94/4,604.34 = 4,604.34/x
  3. Step 3: Cross multiply
    1,938.94x = 4,604.34 × 4,604.34
  4. Step 4: Simplify right side
    1,938.94x = 21,199,981.37
  5. Step 5: Solve for x
    x = 21,199,981.37/1,938.94
  6. Step 6: Final answer
    x = 10,933.81

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.