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Finding the Third Proportional to 21,614.13 and 33,077.11

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Solution

The third proportional to 21,614.13 and 33,077.11 is: 50,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.13 : 33,077.11 = 33,077.11 : x
  2. Step 2: Convert to fraction form
    21,614.13/33,077.11 = 33,077.11/x
  3. Step 3: Cross multiply
    21,614.13x = 33,077.11 × 33,077.11
  4. Step 4: Simplify right side
    21,614.13x = 1,094,095,164.61
  5. Step 5: Solve for x
    x = 1,094,095,164.61/21,614.13
  6. Step 6: Final answer
    x = 50,619.43

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