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Finding the Third Proportional to 21,300 and 32,694

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Solution

The third proportional to 21,300 and 32,694 is: 50,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,300 : 32,694 = 32,694 : x
  2. Step 2: Convert to fraction form
    21,300/32,694 = 32,694/x
  3. Step 3: Cross multiply
    21,300x = 32,694 × 32,694
  4. Step 4: Simplify right side
    21,300x = 1,068,897,636
  5. Step 5: Solve for x
    x = 1,068,897,636/21,300
  6. Step 6: Final answer
    x = 50,182.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.