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Finding the Third Proportional to 2,298.94 and 3,448.41

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Solution

The third proportional to 2,298.94 and 3,448.41 is: 5,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.94 : 3,448.41 = 3,448.41 : x
  2. Step 2: Convert to fraction form
    2,298.94/3,448.41 = 3,448.41/x
  3. Step 3: Cross multiply
    2,298.94x = 3,448.41 × 3,448.41
  4. Step 4: Simplify right side
    2,298.94x = 11,891,561.78
  5. Step 5: Solve for x
    x = 11,891,561.78/2,298.94
  6. Step 6: Final answer
    x = 5,172.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.