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Finding the Third Proportional to 2,154.94 and 3,244.22

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Solution

The third proportional to 2,154.94 and 3,244.22 is: 4,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.94 : 3,244.22 = 3,244.22 : x
  2. Step 2: Convert to fraction form
    2,154.94/3,244.22 = 3,244.22/x
  3. Step 3: Cross multiply
    2,154.94x = 3,244.22 × 3,244.22
  4. Step 4: Simplify right side
    2,154.94x = 10,524,955.30
  5. Step 5: Solve for x
    x = 10,524,955.30/2,154.94
  6. Step 6: Final answer
    x = 4,884.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.