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Finding the Third Proportional to 1,272.19 and 2,698.87

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Solution

The third proportional to 1,272.19 and 2,698.87 is: 5,725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.19 : 2,698.87 = 2,698.87 : x
  2. Step 2: Convert to fraction form
    1,272.19/2,698.87 = 2,698.87/x
  3. Step 3: Cross multiply
    1,272.19x = 2,698.87 × 2,698.87
  4. Step 4: Simplify right side
    1,272.19x = 7,283,878.82
  5. Step 5: Solve for x
    x = 7,283,878.82/1,272.19
  6. Step 6: Final answer
    x = 5,725.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.