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Finding the Third Proportional to 871.26 and 1,349.55

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Solution

The third proportional to 871.26 and 1,349.55 is: 2,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.26 : 1,349.55 = 1,349.55 : x
  2. Step 2: Convert to fraction form
    871.26/1,349.55 = 1,349.55/x
  3. Step 3: Cross multiply
    871.26x = 1,349.55 × 1,349.55
  4. Step 4: Simplify right side
    871.26x = 1,821,289.95
  5. Step 5: Solve for x
    x = 1,821,289.95/871.26
  6. Step 6: Final answer
    x = 2,090.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.