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Finding the Third Proportional to 15,434 and 33,100

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Solution

The third proportional to 15,434 and 33,100 is: 70,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,434 : 33,100 = 33,100 : x
  2. Step 2: Convert to fraction form
    15,434/33,100 = 33,100/x
  3. Step 3: Cross multiply
    15,434x = 33,100 × 33,100
  4. Step 4: Simplify right side
    15,434x = 1,095,610,000
  5. Step 5: Solve for x
    x = 1,095,610,000/15,434
  6. Step 6: Final answer
    x = 70,986.78

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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.