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Finding the Third Proportional to 15,425 and 33,040

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Solution

The third proportional to 15,425 and 33,040 is: 70,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,425 : 33,040 = 33,040 : x
  2. Step 2: Convert to fraction form
    15,425/33,040 = 33,040/x
  3. Step 3: Cross multiply
    15,425x = 33,040 × 33,040
  4. Step 4: Simplify right side
    15,425x = 1,091,641,600
  5. Step 5: Solve for x
    x = 1,091,641,600/15,425
  6. Step 6: Final answer
    x = 70,770.93

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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.