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Finding the Third Proportional to 2,020.15 and 3,032.65

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Solution

The third proportional to 2,020.15 and 3,032.65 is: 4,552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.15 : 3,032.65 = 3,032.65 : x
  2. Step 2: Convert to fraction form
    2,020.15/3,032.65 = 3,032.65/x
  3. Step 3: Cross multiply
    2,020.15x = 3,032.65 × 3,032.65
  4. Step 4: Simplify right side
    2,020.15x = 9,196,956.55
  5. Step 5: Solve for x
    x = 9,196,956.55/2,020.15
  6. Step 6: Final answer
    x = 4,552.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.