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Finding the Third Proportional to 19,813.50 and 41,259

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Solution

The third proportional to 19,813.50 and 41,259 is: 85,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.50 : 41,259 = 41,259 : x
  2. Step 2: Convert to fraction form
    19,813.50/41,259 = 41,259/x
  3. Step 3: Cross multiply
    19,813.50x = 41,259 × 41,259
  4. Step 4: Simplify right side
    19,813.50x = 1,702,305,081
  5. Step 5: Solve for x
    x = 1,702,305,081/19,813.50
  6. Step 6: Final answer
    x = 85,916.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.