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Finding the Third Proportional to 891.84 and 2,322.42

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Solution

The third proportional to 891.84 and 2,322.42 is: 6,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.84 : 2,322.42 = 2,322.42 : x
  2. Step 2: Convert to fraction form
    891.84/2,322.42 = 2,322.42/x
  3. Step 3: Cross multiply
    891.84x = 2,322.42 × 2,322.42
  4. Step 4: Simplify right side
    891.84x = 5,393,643.37
  5. Step 5: Solve for x
    x = 5,393,643.37/891.84
  6. Step 6: Final answer
    x = 6,047.74

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.