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Finding the Third Proportional to 2,028.38 and 2,818.13

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Solution

The third proportional to 2,028.38 and 2,818.13 is: 3,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.38 : 2,818.13 = 2,818.13 : x
  2. Step 2: Convert to fraction form
    2,028.38/2,818.13 = 2,818.13/x
  3. Step 3: Cross multiply
    2,028.38x = 2,818.13 × 2,818.13
  4. Step 4: Simplify right side
    2,028.38x = 7,941,828.52
  5. Step 5: Solve for x
    x = 7,941,828.52/2,028.38
  6. Step 6: Final answer
    x = 3,915.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.