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Finding the Third Proportional to 1,626.75 and 2,590.31

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Solution

The third proportional to 1,626.75 and 2,590.31 is: 4,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.75 : 2,590.31 = 2,590.31 : x
  2. Step 2: Convert to fraction form
    1,626.75/2,590.31 = 2,590.31/x
  3. Step 3: Cross multiply
    1,626.75x = 2,590.31 × 2,590.31
  4. Step 4: Simplify right side
    1,626.75x = 6,709,718.85
  5. Step 5: Solve for x
    x = 6,709,718.85/1,626.75
  6. Step 6: Final answer
    x = 4,124.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.