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Finding the Third Proportional to 1,264.36 and 1,907.93

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Solution

The third proportional to 1,264.36 and 1,907.93 is: 2,879.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.36 : 1,907.93 = 1,907.93 : x
  2. Step 2: Convert to fraction form
    1,264.36/1,907.93 = 1,907.93/x
  3. Step 3: Cross multiply
    1,264.36x = 1,907.93 × 1,907.93
  4. Step 4: Simplify right side
    1,264.36x = 3,640,195.69
  5. Step 5: Solve for x
    x = 3,640,195.69/1,264.36
  6. Step 6: Final answer
    x = 2,879.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.