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Finding the Third Proportional to 15,194 and 35,321

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Solution

The third proportional to 15,194 and 35,321 is: 82,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194 : 35,321 = 35,321 : x
  2. Step 2: Convert to fraction form
    15,194/35,321 = 35,321/x
  3. Step 3: Cross multiply
    15,194x = 35,321 × 35,321
  4. Step 4: Simplify right side
    15,194x = 1,247,573,041
  5. Step 5: Solve for x
    x = 1,247,573,041/15,194
  6. Step 6: Final answer
    x = 82,109.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.