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Finding the Third Proportional to 19,836 and 37,404

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Solution

The third proportional to 19,836 and 37,404 is: 70,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836 : 37,404 = 37,404 : x
  2. Step 2: Convert to fraction form
    19,836/37,404 = 37,404/x
  3. Step 3: Cross multiply
    19,836x = 37,404 × 37,404
  4. Step 4: Simplify right side
    19,836x = 1,399,059,216
  5. Step 5: Solve for x
    x = 1,399,059,216/19,836
  6. Step 6: Final answer
    x = 70,531.32

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.