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Finding the Third Proportional to 19,863 and 41,359.50

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Solution

The third proportional to 19,863 and 41,359.50 is: 86,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,863 : 41,359.50 = 41,359.50 : x
  2. Step 2: Convert to fraction form
    19,863/41,359.50 = 41,359.50/x
  3. Step 3: Cross multiply
    19,863x = 41,359.50 × 41,359.50
  4. Step 4: Simplify right side
    19,863x = 1,710,608,240.25
  5. Step 5: Solve for x
    x = 1,710,608,240.25/19,863
  6. Step 6: Final answer
    x = 86,120.34

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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.