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Finding the Third Proportional to 2,726.16 and 5,713.03

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Solution

The third proportional to 2,726.16 and 5,713.03 is: 11,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.16 : 5,713.03 = 5,713.03 : x
  2. Step 2: Convert to fraction form
    2,726.16/5,713.03 = 5,713.03/x
  3. Step 3: Cross multiply
    2,726.16x = 5,713.03 × 5,713.03
  4. Step 4: Simplify right side
    2,726.16x = 32,638,726.06
  5. Step 5: Solve for x
    x = 32,638,726.06/2,726.16
  6. Step 6: Final answer
    x = 11,972.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.