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Finding the Third Proportional to 18,933.88 and 29,399.50

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Solution

The third proportional to 18,933.88 and 29,399.50 is: 45,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,933.88 : 29,399.50 = 29,399.50 : x
  2. Step 2: Convert to fraction form
    18,933.88/29,399.50 = 29,399.50/x
  3. Step 3: Cross multiply
    18,933.88x = 29,399.50 × 29,399.50
  4. Step 4: Simplify right side
    18,933.88x = 864,330,600.25
  5. Step 5: Solve for x
    x = 864,330,600.25/18,933.88
  6. Step 6: Final answer
    x = 45,649.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.