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Finding the Third Proportional to 18,573 and 38,050

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Solution

The third proportional to 18,573 and 38,050 is: 77,952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,573 : 38,050 = 38,050 : x
  2. Step 2: Convert to fraction form
    18,573/38,050 = 38,050/x
  3. Step 3: Cross multiply
    18,573x = 38,050 × 38,050
  4. Step 4: Simplify right side
    18,573x = 1,447,802,500
  5. Step 5: Solve for x
    x = 1,447,802,500/18,573
  6. Step 6: Final answer
    x = 77,952.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.