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Finding the Third Proportional to 1,790.25 and 2,570.25

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Solution

The third proportional to 1,790.25 and 2,570.25 is: 3,690.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.25 : 2,570.25 = 2,570.25 : x
  2. Step 2: Convert to fraction form
    1,790.25/2,570.25 = 2,570.25/x
  3. Step 3: Cross multiply
    1,790.25x = 2,570.25 × 2,570.25
  4. Step 4: Simplify right side
    1,790.25x = 6,606,185.06
  5. Step 5: Solve for x
    x = 6,606,185.06/1,790.25
  6. Step 6: Final answer
    x = 3,690.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.