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Finding the Third Proportional to 1,954.97 and 4,331.81

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Solution

The third proportional to 1,954.97 and 4,331.81 is: 9,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.97 : 4,331.81 = 4,331.81 : x
  2. Step 2: Convert to fraction form
    1,954.97/4,331.81 = 4,331.81/x
  3. Step 3: Cross multiply
    1,954.97x = 4,331.81 × 4,331.81
  4. Step 4: Simplify right side
    1,954.97x = 18,764,599.54
  5. Step 5: Solve for x
    x = 18,764,599.54/1,954.97
  6. Step 6: Final answer
    x = 9,598.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.