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Finding the Third Proportional to 1,573.40 and 2,205.62

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Solution

The third proportional to 1,573.40 and 2,205.62 is: 3,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.40 : 2,205.62 = 2,205.62 : x
  2. Step 2: Convert to fraction form
    1,573.40/2,205.62 = 2,205.62/x
  3. Step 3: Cross multiply
    1,573.40x = 2,205.62 × 2,205.62
  4. Step 4: Simplify right side
    1,573.40x = 4,864,738.56
  5. Step 5: Solve for x
    x = 4,864,738.56/1,573.40
  6. Step 6: Final answer
    x = 3,091.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.