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Finding the Third Proportional to 886.43 and 1,353.21

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Solution

The third proportional to 886.43 and 1,353.21 is: 2,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.43 : 1,353.21 = 1,353.21 : x
  2. Step 2: Convert to fraction form
    886.43/1,353.21 = 1,353.21/x
  3. Step 3: Cross multiply
    886.43x = 1,353.21 × 1,353.21
  4. Step 4: Simplify right side
    886.43x = 1,831,187.48
  5. Step 5: Solve for x
    x = 1,831,187.48/886.43
  6. Step 6: Final answer
    x = 2,065.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.