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Finding the Third Proportional to 1,262.94 and 2,726.88

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Solution

The third proportional to 1,262.94 and 2,726.88 is: 5,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.94 : 2,726.88 = 2,726.88 : x
  2. Step 2: Convert to fraction form
    1,262.94/2,726.88 = 2,726.88/x
  3. Step 3: Cross multiply
    1,262.94x = 2,726.88 × 2,726.88
  4. Step 4: Simplify right side
    1,262.94x = 7,435,847.27
  5. Step 5: Solve for x
    x = 7,435,847.27/1,262.94
  6. Step 6: Final answer
    x = 5,887.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.