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Finding the Third Proportional to 1,952.30 and 4,251.23

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Solution

The third proportional to 1,952.30 and 4,251.23 is: 9,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.30 : 4,251.23 = 4,251.23 : x
  2. Step 2: Convert to fraction form
    1,952.30/4,251.23 = 4,251.23/x
  3. Step 3: Cross multiply
    1,952.30x = 4,251.23 × 4,251.23
  4. Step 4: Simplify right side
    1,952.30x = 18,072,993.71
  5. Step 5: Solve for x
    x = 18,072,993.71/1,952.30
  6. Step 6: Final answer
    x = 9,257.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.