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Finding the Third Proportional to 15,125 and 32,194

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Solution

The third proportional to 15,125 and 32,194 is: 68,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,125 : 32,194 = 32,194 : x
  2. Step 2: Convert to fraction form
    15,125/32,194 = 32,194/x
  3. Step 3: Cross multiply
    15,125x = 32,194 × 32,194
  4. Step 4: Simplify right side
    15,125x = 1,036,453,636
  5. Step 5: Solve for x
    x = 1,036,453,636/15,125
  6. Step 6: Final answer
    x = 68,525.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.