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Finding the Third Proportional to 15,836 and 33,408

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Solution

The third proportional to 15,836 and 33,408 is: 70,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,836 : 33,408 = 33,408 : x
  2. Step 2: Convert to fraction form
    15,836/33,408 = 33,408/x
  3. Step 3: Cross multiply
    15,836x = 33,408 × 33,408
  4. Step 4: Simplify right side
    15,836x = 1,116,094,464
  5. Step 5: Solve for x
    x = 1,116,094,464/15,836
  6. Step 6: Final answer
    x = 70,478.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.