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Finding the Third Proportional to 1,818.19 and 3,852.75

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Solution

The third proportional to 1,818.19 and 3,852.75 is: 8,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.19 : 3,852.75 = 3,852.75 : x
  2. Step 2: Convert to fraction form
    1,818.19/3,852.75 = 3,852.75/x
  3. Step 3: Cross multiply
    1,818.19x = 3,852.75 × 3,852.75
  4. Step 4: Simplify right side
    1,818.19x = 14,843,682.56
  5. Step 5: Solve for x
    x = 14,843,682.56/1,818.19
  6. Step 6: Final answer
    x = 8,164.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.