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Finding the Third Proportional to 18,853.50 and 41,433

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Solution

The third proportional to 18,853.50 and 41,433 is: 91,054.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,853.50 : 41,433 = 41,433 : x
  2. Step 2: Convert to fraction form
    18,853.50/41,433 = 41,433/x
  3. Step 3: Cross multiply
    18,853.50x = 41,433 × 41,433
  4. Step 4: Simplify right side
    18,853.50x = 1,716,693,489
  5. Step 5: Solve for x
    x = 1,716,693,489/18,853.50
  6. Step 6: Final answer
    x = 91,054.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.