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Finding the Third Proportional to 9,354 and 12,219

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Solution

The third proportional to 9,354 and 12,219 is: 15,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354 : 12,219 = 12,219 : x
  2. Step 2: Convert to fraction form
    9,354/12,219 = 12,219/x
  3. Step 3: Cross multiply
    9,354x = 12,219 × 12,219
  4. Step 4: Simplify right side
    9,354x = 149,303,961
  5. Step 5: Solve for x
    x = 149,303,961/9,354
  6. Step 6: Final answer
    x = 15,961.51

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.