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Finding the Third Proportional to 19,616.50 and 40,265.75

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Solution

The third proportional to 19,616.50 and 40,265.75 is: 82,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.50 : 40,265.75 = 40,265.75 : x
  2. Step 2: Convert to fraction form
    19,616.50/40,265.75 = 40,265.75/x
  3. Step 3: Cross multiply
    19,616.50x = 40,265.75 × 40,265.75
  4. Step 4: Simplify right side
    19,616.50x = 1,621,330,623.06
  5. Step 5: Solve for x
    x = 1,621,330,623.06/19,616.50
  6. Step 6: Final answer
    x = 82,651.37

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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.