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Finding the Third Proportional to 1,264.36 and 2,702.74

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Solution

The third proportional to 1,264.36 and 2,702.74 is: 5,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.36 : 2,702.74 = 2,702.74 : x
  2. Step 2: Convert to fraction form
    1,264.36/2,702.74 = 2,702.74/x
  3. Step 3: Cross multiply
    1,264.36x = 2,702.74 × 2,702.74
  4. Step 4: Simplify right side
    1,264.36x = 7,304,815.33
  5. Step 5: Solve for x
    x = 7,304,815.33/1,264.36
  6. Step 6: Final answer
    x = 5,777.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.