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Finding the Third Proportional to 19,498.50 and 39,921.19

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Solution

The third proportional to 19,498.50 and 39,921.19 is: 81,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498.50 : 39,921.19 = 39,921.19 : x
  2. Step 2: Convert to fraction form
    19,498.50/39,921.19 = 39,921.19/x
  3. Step 3: Cross multiply
    19,498.50x = 39,921.19 × 39,921.19
  4. Step 4: Simplify right side
    19,498.50x = 1,593,701,211.41
  5. Step 5: Solve for x
    x = 1,593,701,211.41/19,498.50
  6. Step 6: Final answer
    x = 81,734.55

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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.