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Finding the Third Proportional to 881.31 and 2,087.88

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Solution

The third proportional to 881.31 and 2,087.88 is: 4,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.31 : 2,087.88 = 2,087.88 : x
  2. Step 2: Convert to fraction form
    881.31/2,087.88 = 2,087.88/x
  3. Step 3: Cross multiply
    881.31x = 2,087.88 × 2,087.88
  4. Step 4: Simplify right side
    881.31x = 4,359,222.02
  5. Step 5: Solve for x
    x = 4,359,222.02/881.31
  6. Step 6: Final answer
    x = 4,946.28

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.