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Finding the Third Proportional to 7,419 and 11,554

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Solution

The third proportional to 7,419 and 11,554 is: 17,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419 : 11,554 = 11,554 : x
  2. Step 2: Convert to fraction form
    7,419/11,554 = 11,554/x
  3. Step 3: Cross multiply
    7,419x = 11,554 × 11,554
  4. Step 4: Simplify right side
    7,419x = 133,494,916
  5. Step 5: Solve for x
    x = 133,494,916/7,419
  6. Step 6: Final answer
    x = 17,993.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.