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Finding the Third Proportional to 1,297.90 and 2,063.29

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Solution

The third proportional to 1,297.90 and 2,063.29 is: 3,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.90 : 2,063.29 = 2,063.29 : x
  2. Step 2: Convert to fraction form
    1,297.90/2,063.29 = 2,063.29/x
  3. Step 3: Cross multiply
    1,297.90x = 2,063.29 × 2,063.29
  4. Step 4: Simplify right side
    1,297.90x = 4,257,145.64
  5. Step 5: Solve for x
    x = 4,257,145.64/1,297.90
  6. Step 6: Final answer
    x = 3,280.03

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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.