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Finding the Third Proportional to 18,002.25 and 25,173

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Solution

The third proportional to 18,002.25 and 25,173 is: 35,200.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,002.25 : 25,173 = 25,173 : x
  2. Step 2: Convert to fraction form
    18,002.25/25,173 = 25,173/x
  3. Step 3: Cross multiply
    18,002.25x = 25,173 × 25,173
  4. Step 4: Simplify right side
    18,002.25x = 633,679,929
  5. Step 5: Solve for x
    x = 633,679,929/18,002.25
  6. Step 6: Final answer
    x = 35,200.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.