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Finding the Third Proportional to 881.81 and 1,702.88

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Solution

The third proportional to 881.81 and 1,702.88 is: 3,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.81 : 1,702.88 = 1,702.88 : x
  2. Step 2: Convert to fraction form
    881.81/1,702.88 = 1,702.88/x
  3. Step 3: Cross multiply
    881.81x = 1,702.88 × 1,702.88
  4. Step 4: Simplify right side
    881.81x = 2,899,783.27
  5. Step 5: Solve for x
    x = 2,899,783.27/881.81
  6. Step 6: Final answer
    x = 3,288.44

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.