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Finding the Third Proportional to 2,041.45 and 3,059.65

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Solution

The third proportional to 2,041.45 and 3,059.65 is: 4,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.45 : 3,059.65 = 3,059.65 : x
  2. Step 2: Convert to fraction form
    2,041.45/3,059.65 = 3,059.65/x
  3. Step 3: Cross multiply
    2,041.45x = 3,059.65 × 3,059.65
  4. Step 4: Simplify right side
    2,041.45x = 9,361,448.56
  5. Step 5: Solve for x
    x = 9,361,448.56/2,041.45
  6. Step 6: Final answer
    x = 4,585.68

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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.