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Finding the Third Proportional to 2,038.25 and 3,020.25

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Solution

The third proportional to 2,038.25 and 3,020.25 is: 4,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.25 : 3,020.25 = 3,020.25 : x
  2. Step 2: Convert to fraction form
    2,038.25/3,020.25 = 3,020.25/x
  3. Step 3: Cross multiply
    2,038.25x = 3,020.25 × 3,020.25
  4. Step 4: Simplify right side
    2,038.25x = 9,121,910.06
  5. Step 5: Solve for x
    x = 9,121,910.06/2,038.25
  6. Step 6: Final answer
    x = 4,475.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.