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Finding the Third Proportional to 21,084.05 and 32,634.14

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Solution

The third proportional to 21,084.05 and 32,634.14 is: 50,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084.05 : 32,634.14 = 32,634.14 : x
  2. Step 2: Convert to fraction form
    21,084.05/32,634.14 = 32,634.14/x
  3. Step 3: Cross multiply
    21,084.05x = 32,634.14 × 32,634.14
  4. Step 4: Simplify right side
    21,084.05x = 1,064,987,134.33
  5. Step 5: Solve for x
    x = 1,064,987,134.33/21,084.05
  6. Step 6: Final answer
    x = 50,511.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.