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Finding the Third Proportional to 1,868.06 and 2,847.66

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Solution

The third proportional to 1,868.06 and 2,847.66 is: 4,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.06 : 2,847.66 = 2,847.66 : x
  2. Step 2: Convert to fraction form
    1,868.06/2,847.66 = 2,847.66/x
  3. Step 3: Cross multiply
    1,868.06x = 2,847.66 × 2,847.66
  4. Step 4: Simplify right side
    1,868.06x = 8,109,146.12
  5. Step 5: Solve for x
    x = 8,109,146.12/1,868.06
  6. Step 6: Final answer
    x = 4,340.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.