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Finding the Third Proportional to 1,266.19 and 2,763.56

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Solution

The third proportional to 1,266.19 and 2,763.56 is: 6,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.19 : 2,763.56 = 2,763.56 : x
  2. Step 2: Convert to fraction form
    1,266.19/2,763.56 = 2,763.56/x
  3. Step 3: Cross multiply
    1,266.19x = 2,763.56 × 2,763.56
  4. Step 4: Simplify right side
    1,266.19x = 7,637,277.69
  5. Step 5: Solve for x
    x = 7,637,277.69/1,266.19
  6. Step 6: Final answer
    x = 6,031.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.