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Finding the Third Proportional to 18,924.75 and 21,867.75

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Solution

The third proportional to 18,924.75 and 21,867.75 is: 25,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,924.75 : 21,867.75 = 21,867.75 : x
  2. Step 2: Convert to fraction form
    18,924.75/21,867.75 = 21,867.75/x
  3. Step 3: Cross multiply
    18,924.75x = 21,867.75 × 21,867.75
  4. Step 4: Simplify right side
    18,924.75x = 478,198,490.06
  5. Step 5: Solve for x
    x = 478,198,490.06/18,924.75
  6. Step 6: Final answer
    x = 25,268.42

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.