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Finding the Third Proportional to 22,974 and 35,119

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Solution

The third proportional to 22,974 and 35,119 is: 53,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974 : 35,119 = 35,119 : x
  2. Step 2: Convert to fraction form
    22,974/35,119 = 35,119/x
  3. Step 3: Cross multiply
    22,974x = 35,119 × 35,119
  4. Step 4: Simplify right side
    22,974x = 1,233,344,161
  5. Step 5: Solve for x
    x = 1,233,344,161/22,974
  6. Step 6: Final answer
    x = 53,684.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.