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Finding the Third Proportional to 1,322.94 and 2,891.88

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Solution

The third proportional to 1,322.94 and 2,891.88 is: 6,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.94 : 2,891.88 = 2,891.88 : x
  2. Step 2: Convert to fraction form
    1,322.94/2,891.88 = 2,891.88/x
  3. Step 3: Cross multiply
    1,322.94x = 2,891.88 × 2,891.88
  4. Step 4: Simplify right side
    1,322.94x = 8,362,941.02
  5. Step 5: Solve for x
    x = 8,362,941.02/1,322.94
  6. Step 6: Final answer
    x = 6,321.49

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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.