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Finding the Third Proportional to 21,034.69 and 33,177.09

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Solution

The third proportional to 21,034.69 and 33,177.09 is: 52,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.69 : 33,177.09 = 33,177.09 : x
  2. Step 2: Convert to fraction form
    21,034.69/33,177.09 = 33,177.09/x
  3. Step 3: Cross multiply
    21,034.69x = 33,177.09 × 33,177.09
  4. Step 4: Simplify right side
    21,034.69x = 1,100,719,549.70
  5. Step 5: Solve for x
    x = 1,100,719,549.70/21,034.69
  6. Step 6: Final answer
    x = 52,328.78

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.