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Finding the Third Proportional to 881.44 and 1,915.03

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Solution

The third proportional to 881.44 and 1,915.03 is: 4,160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.44 : 1,915.03 = 1,915.03 : x
  2. Step 2: Convert to fraction form
    881.44/1,915.03 = 1,915.03/x
  3. Step 3: Cross multiply
    881.44x = 1,915.03 × 1,915.03
  4. Step 4: Simplify right side
    881.44x = 3,667,344.69
  5. Step 5: Solve for x
    x = 3,667,344.69/881.44
  6. Step 6: Final answer
    x = 4,160.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.