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Finding the Third Proportional to 1,297.13 and 1,763.44

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Solution

The third proportional to 1,297.13 and 1,763.44 is: 2,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.13 : 1,763.44 = 1,763.44 : x
  2. Step 2: Convert to fraction form
    1,297.13/1,763.44 = 1,763.44/x
  3. Step 3: Cross multiply
    1,297.13x = 1,763.44 × 1,763.44
  4. Step 4: Simplify right side
    1,297.13x = 3,109,711.82
  5. Step 5: Solve for x
    x = 3,109,711.82/1,297.13
  6. Step 6: Final answer
    x = 2,397.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.