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Finding the Third Proportional to 18,589.50 and 40,074.75

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Solution

The third proportional to 18,589.50 and 40,074.75 is: 86,392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.50 : 40,074.75 = 40,074.75 : x
  2. Step 2: Convert to fraction form
    18,589.50/40,074.75 = 40,074.75/x
  3. Step 3: Cross multiply
    18,589.50x = 40,074.75 × 40,074.75
  4. Step 4: Simplify right side
    18,589.50x = 1,605,985,587.56
  5. Step 5: Solve for x
    x = 1,605,985,587.56/18,589.50
  6. Step 6: Final answer
    x = 86,392.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.