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Finding the Third Proportional to 19,520 and 39,644

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Solution

The third proportional to 19,520 and 39,644 is: 80,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,520 : 39,644 = 39,644 : x
  2. Step 2: Convert to fraction form
    19,520/39,644 = 39,644/x
  3. Step 3: Cross multiply
    19,520x = 39,644 × 39,644
  4. Step 4: Simplify right side
    19,520x = 1,571,646,736
  5. Step 5: Solve for x
    x = 1,571,646,736/19,520
  6. Step 6: Final answer
    x = 80,514.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.