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Finding the Third Proportional to 18,050 and 41,783

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Solution

The third proportional to 18,050 and 41,783 is: 96,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,050 : 41,783 = 41,783 : x
  2. Step 2: Convert to fraction form
    18,050/41,783 = 41,783/x
  3. Step 3: Cross multiply
    18,050x = 41,783 × 41,783
  4. Step 4: Simplify right side
    18,050x = 1,745,819,089
  5. Step 5: Solve for x
    x = 1,745,819,089/18,050
  6. Step 6: Final answer
    x = 96,721.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.