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Finding the Third Proportional to 19,818 and 41,271

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Solution

The third proportional to 19,818 and 41,271 is: 85,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,818 : 41,271 = 41,271 : x
  2. Step 2: Convert to fraction form
    19,818/41,271 = 41,271/x
  3. Step 3: Cross multiply
    19,818x = 41,271 × 41,271
  4. Step 4: Simplify right side
    19,818x = 1,703,295,441
  5. Step 5: Solve for x
    x = 1,703,295,441/19,818
  6. Step 6: Final answer
    x = 85,946.89

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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.