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Finding the Third Proportional to 15,450 and 33,084

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Solution

The third proportional to 15,450 and 33,084 is: 70,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,450 : 33,084 = 33,084 : x
  2. Step 2: Convert to fraction form
    15,450/33,084 = 33,084/x
  3. Step 3: Cross multiply
    15,450x = 33,084 × 33,084
  4. Step 4: Simplify right side
    15,450x = 1,094,551,056
  5. Step 5: Solve for x
    x = 1,094,551,056/15,450
  6. Step 6: Final answer
    x = 70,844.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.