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Finding the Third Proportional to 17,784.56 and 25,021.41

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Solution

The third proportional to 17,784.56 and 25,021.41 is: 35,203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.56 : 25,021.41 = 25,021.41 : x
  2. Step 2: Convert to fraction form
    17,784.56/25,021.41 = 25,021.41/x
  3. Step 3: Cross multiply
    17,784.56x = 25,021.41 × 25,021.41
  4. Step 4: Simplify right side
    17,784.56x = 626,070,770.73
  5. Step 5: Solve for x
    x = 626,070,770.73/17,784.56
  6. Step 6: Final answer
    x = 35,203.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.