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Finding the Third Proportional to 19,498.75 and 39,921.75

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Solution

The third proportional to 19,498.75 and 39,921.75 is: 81,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498.75 : 39,921.75 = 39,921.75 : x
  2. Step 2: Convert to fraction form
    19,498.75/39,921.75 = 39,921.75/x
  3. Step 3: Cross multiply
    19,498.75x = 39,921.75 × 39,921.75
  4. Step 4: Simplify right side
    19,498.75x = 1,593,746,123.06
  5. Step 5: Solve for x
    x = 1,593,746,123.06/19,498.75
  6. Step 6: Final answer
    x = 81,735.81

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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.