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Finding the Third Proportional to 1,314.35 and 2,873.60

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Solution

The third proportional to 1,314.35 and 2,873.60 is: 6,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.35 : 2,873.60 = 2,873.60 : x
  2. Step 2: Convert to fraction form
    1,314.35/2,873.60 = 2,873.60/x
  3. Step 3: Cross multiply
    1,314.35x = 2,873.60 × 2,873.60
  4. Step 4: Simplify right side
    1,314.35x = 8,257,585.94
  5. Step 5: Solve for x
    x = 8,257,585.94/1,314.35
  6. Step 6: Final answer
    x = 6,282.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.