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Finding the Third Proportional to 18,138.94 and 24,077.25

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Solution

The third proportional to 18,138.94 and 24,077.25 is: 31,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.94 : 24,077.25 = 24,077.25 : x
  2. Step 2: Convert to fraction form
    18,138.94/24,077.25 = 24,077.25/x
  3. Step 3: Cross multiply
    18,138.94x = 24,077.25 × 24,077.25
  4. Step 4: Simplify right side
    18,138.94x = 579,713,967.56
  5. Step 5: Solve for x
    x = 579,713,967.56/18,138.94
  6. Step 6: Final answer
    x = 31,959.64

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.