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Finding the Third Proportional to 7,974 and 14,793.75

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Solution

The third proportional to 7,974 and 14,793.75 is: 27,446.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974 : 14,793.75 = 14,793.75 : x
  2. Step 2: Convert to fraction form
    7,974/14,793.75 = 14,793.75/x
  3. Step 3: Cross multiply
    7,974x = 14,793.75 × 14,793.75
  4. Step 4: Simplify right side
    7,974x = 218,855,039.06
  5. Step 5: Solve for x
    x = 218,855,039.06/7,974
  6. Step 6: Final answer
    x = 27,446.08

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.