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Finding the Third Proportional to 18,042.75 and 25,423.88

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Solution

The third proportional to 18,042.75 and 25,423.88 is: 35,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042.75 : 25,423.88 = 25,423.88 : x
  2. Step 2: Convert to fraction form
    18,042.75/25,423.88 = 25,423.88/x
  3. Step 3: Cross multiply
    18,042.75x = 25,423.88 × 25,423.88
  4. Step 4: Simplify right side
    18,042.75x = 646,373,420.02
  5. Step 5: Solve for x
    x = 646,373,420.02/18,042.75
  6. Step 6: Final answer
    x = 35,824.55

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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.