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Finding the Third Proportional to 13,761 and 20,088

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Solution

The third proportional to 13,761 and 20,088 is: 29,324.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761 : 20,088 = 20,088 : x
  2. Step 2: Convert to fraction form
    13,761/20,088 = 20,088/x
  3. Step 3: Cross multiply
    13,761x = 20,088 × 20,088
  4. Step 4: Simplify right side
    13,761x = 403,527,744
  5. Step 5: Solve for x
    x = 403,527,744/13,761
  6. Step 6: Final answer
    x = 29,324.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.