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Finding the Third Proportional to 15,400 and 33,229

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Solution

The third proportional to 15,400 and 33,229 is: 71,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400 : 33,229 = 33,229 : x
  2. Step 2: Convert to fraction form
    15,400/33,229 = 33,229/x
  3. Step 3: Cross multiply
    15,400x = 33,229 × 33,229
  4. Step 4: Simplify right side
    15,400x = 1,104,166,441
  5. Step 5: Solve for x
    x = 1,104,166,441/15,400
  6. Step 6: Final answer
    x = 71,699.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.