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Finding the Third Proportional to 22,647 and 30,754

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Solution

The third proportional to 22,647 and 30,754 is: 41,763.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647 : 30,754 = 30,754 : x
  2. Step 2: Convert to fraction form
    22,647/30,754 = 30,754/x
  3. Step 3: Cross multiply
    22,647x = 30,754 × 30,754
  4. Step 4: Simplify right side
    22,647x = 945,808,516
  5. Step 5: Solve for x
    x = 945,808,516/22,647
  6. Step 6: Final answer
    x = 41,763.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.