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Finding the Third Proportional to 13,764 and 18,535

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Solution

The third proportional to 13,764 and 18,535 is: 24,959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764 : 18,535 = 18,535 : x
  2. Step 2: Convert to fraction form
    13,764/18,535 = 18,535/x
  3. Step 3: Cross multiply
    13,764x = 18,535 × 18,535
  4. Step 4: Simplify right side
    13,764x = 343,546,225
  5. Step 5: Solve for x
    x = 343,546,225/13,764
  6. Step 6: Final answer
    x = 24,959.77

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.