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Finding the Third Proportional to 1,818.56 and 3,960.56

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Solution

The third proportional to 1,818.56 and 3,960.56 is: 8,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.56 : 3,960.56 = 3,960.56 : x
  2. Step 2: Convert to fraction form
    1,818.56/3,960.56 = 3,960.56/x
  3. Step 3: Cross multiply
    1,818.56x = 3,960.56 × 3,960.56
  4. Step 4: Simplify right side
    1,818.56x = 15,686,055.32
  5. Step 5: Solve for x
    x = 15,686,055.32/1,818.56
  6. Step 6: Final answer
    x = 8,625.52

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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.