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Finding the Third Proportional to 19,424 and 33,808

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Solution

The third proportional to 19,424 and 33,808 is: 58,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,424 : 33,808 = 33,808 : x
  2. Step 2: Convert to fraction form
    19,424/33,808 = 33,808/x
  3. Step 3: Cross multiply
    19,424x = 33,808 × 33,808
  4. Step 4: Simplify right side
    19,424x = 1,142,980,864
  5. Step 5: Solve for x
    x = 1,142,980,864/19,424
  6. Step 6: Final answer
    x = 58,843.74

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.