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Finding the Third Proportional to 9,492.75 and 22,974.75

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Solution

The third proportional to 9,492.75 and 22,974.75 is: 55,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.75 : 22,974.75 = 22,974.75 : x
  2. Step 2: Convert to fraction form
    9,492.75/22,974.75 = 22,974.75/x
  3. Step 3: Cross multiply
    9,492.75x = 22,974.75 × 22,974.75
  4. Step 4: Simplify right side
    9,492.75x = 527,839,137.56
  5. Step 5: Solve for x
    x = 527,839,137.56/9,492.75
  6. Step 6: Final answer
    x = 55,604.45

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.