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Finding the Third Proportional to 1,440.28 and 2,083.22

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Solution

The third proportional to 1,440.28 and 2,083.22 is: 3,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.28 : 2,083.22 = 2,083.22 : x
  2. Step 2: Convert to fraction form
    1,440.28/2,083.22 = 2,083.22/x
  3. Step 3: Cross multiply
    1,440.28x = 2,083.22 × 2,083.22
  4. Step 4: Simplify right side
    1,440.28x = 4,339,800.36
  5. Step 5: Solve for x
    x = 4,339,800.36/1,440.28
  6. Step 6: Final answer
    x = 3,013.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.