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Finding the Third Proportional to 1,574.75 and 2,206.93

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Solution

The third proportional to 1,574.75 and 2,206.93 is: 3,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.75 : 2,206.93 = 2,206.93 : x
  2. Step 2: Convert to fraction form
    1,574.75/2,206.93 = 2,206.93/x
  3. Step 3: Cross multiply
    1,574.75x = 2,206.93 × 2,206.93
  4. Step 4: Simplify right side
    1,574.75x = 4,870,555.89
  5. Step 5: Solve for x
    x = 4,870,555.89/1,574.75
  6. Step 6: Final answer
    x = 3,092.90

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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.