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Finding the Third Proportional to 825.94 and 883.88

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Solution

The third proportional to 825.94 and 883.88 is: 945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.94 : 883.88 = 883.88 : x
  2. Step 2: Convert to fraction form
    825.94/883.88 = 883.88/x
  3. Step 3: Cross multiply
    825.94x = 883.88 × 883.88
  4. Step 4: Simplify right side
    825.94x = 781,235.02
  5. Step 5: Solve for x
    x = 781,235.02/825.94
  6. Step 6: Final answer
    x = 945.88

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.