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Finding the Third Proportional to 2,052.84 and 4,251.23

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Solution

The third proportional to 2,052.84 and 4,251.23 is: 8,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.84 : 4,251.23 = 4,251.23 : x
  2. Step 2: Convert to fraction form
    2,052.84/4,251.23 = 4,251.23/x
  3. Step 3: Cross multiply
    2,052.84x = 4,251.23 × 4,251.23
  4. Step 4: Simplify right side
    2,052.84x = 18,072,993.71
  5. Step 5: Solve for x
    x = 18,072,993.71/2,052.84
  6. Step 6: Final answer
    x = 8,803.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.