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Finding the Third Proportional to 13,726.75 and 27,952.75

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Solution

The third proportional to 13,726.75 and 27,952.75 is: 56,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.75 : 27,952.75 = 27,952.75 : x
  2. Step 2: Convert to fraction form
    13,726.75/27,952.75 = 27,952.75/x
  3. Step 3: Cross multiply
    13,726.75x = 27,952.75 × 27,952.75
  4. Step 4: Simplify right side
    13,726.75x = 781,356,232.56
  5. Step 5: Solve for x
    x = 781,356,232.56/13,726.75
  6. Step 6: Final answer
    x = 56,922.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.