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Finding the Third Proportional to 881.06 and 1,895.06

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Solution

The third proportional to 881.06 and 1,895.06 is: 4,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.06 : 1,895.06 = 1,895.06 : x
  2. Step 2: Convert to fraction form
    881.06/1,895.06 = 1,895.06/x
  3. Step 3: Cross multiply
    881.06x = 1,895.06 × 1,895.06
  4. Step 4: Simplify right side
    881.06x = 3,591,261.88
  5. Step 5: Solve for x
    x = 3,591,261.88/881.06
  6. Step 6: Final answer
    x = 4,076.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.