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Finding the Third Proportional to 21,549 and 32,194

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Solution

The third proportional to 21,549 and 32,194 is: 48,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,549 : 32,194 = 32,194 : x
  2. Step 2: Convert to fraction form
    21,549/32,194 = 32,194/x
  3. Step 3: Cross multiply
    21,549x = 32,194 × 32,194
  4. Step 4: Simplify right side
    21,549x = 1,036,453,636
  5. Step 5: Solve for x
    x = 1,036,453,636/21,549
  6. Step 6: Final answer
    x = 48,097.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.