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Finding the Third Proportional to 18,042 and 25,803

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Solution

The third proportional to 18,042 and 25,803 is: 36,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042 : 25,803 = 25,803 : x
  2. Step 2: Convert to fraction form
    18,042/25,803 = 25,803/x
  3. Step 3: Cross multiply
    18,042x = 25,803 × 25,803
  4. Step 4: Simplify right side
    18,042x = 665,794,809
  5. Step 5: Solve for x
    x = 665,794,809/18,042
  6. Step 6: Final answer
    x = 36,902.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.