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Finding the Third Proportional to 15,813 and 33,085

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Solution

The third proportional to 15,813 and 33,085 is: 69,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813 : 33,085 = 33,085 : x
  2. Step 2: Convert to fraction form
    15,813/33,085 = 33,085/x
  3. Step 3: Cross multiply
    15,813x = 33,085 × 33,085
  4. Step 4: Simplify right side
    15,813x = 1,094,617,225
  5. Step 5: Solve for x
    x = 1,094,617,225/15,813
  6. Step 6: Final answer
    x = 69,222.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.