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Finding the Third Proportional to 18,974 and 22,853

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Solution

The third proportional to 18,974 and 22,853 is: 27,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,974 : 22,853 = 22,853 : x
  2. Step 2: Convert to fraction form
    18,974/22,853 = 22,853/x
  3. Step 3: Cross multiply
    18,974x = 22,853 × 22,853
  4. Step 4: Simplify right side
    18,974x = 522,259,609
  5. Step 5: Solve for x
    x = 522,259,609/18,974
  6. Step 6: Final answer
    x = 27,525.01

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.