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Finding the Third Proportional to 2,045 and 3,188

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Solution

The third proportional to 2,045 and 3,188 is: 4,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045 : 3,188 = 3,188 : x
  2. Step 2: Convert to fraction form
    2,045/3,188 = 3,188/x
  3. Step 3: Cross multiply
    2,045x = 3,188 × 3,188
  4. Step 4: Simplify right side
    2,045x = 10,163,344
  5. Step 5: Solve for x
    x = 10,163,344/2,045
  6. Step 6: Final answer
    x = 4,969.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.