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Finding the Third Proportional to 21,642.75 and 27,679.75

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Solution

The third proportional to 21,642.75 and 27,679.75 is: 35,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.75 : 27,679.75 = 27,679.75 : x
  2. Step 2: Convert to fraction form
    21,642.75/27,679.75 = 27,679.75/x
  3. Step 3: Cross multiply
    21,642.75x = 27,679.75 × 27,679.75
  4. Step 4: Simplify right side
    21,642.75x = 766,168,560.06
  5. Step 5: Solve for x
    x = 766,168,560.06/21,642.75
  6. Step 6: Final answer
    x = 35,400.70

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.