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Finding the Third Proportional to 13,760 and 20,052

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Solution

The third proportional to 13,760 and 20,052 is: 29,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760 : 20,052 = 20,052 : x
  2. Step 2: Convert to fraction form
    13,760/20,052 = 20,052/x
  3. Step 3: Cross multiply
    13,760x = 20,052 × 20,052
  4. Step 4: Simplify right side
    13,760x = 402,082,704
  5. Step 5: Solve for x
    x = 402,082,704/13,760
  6. Step 6: Final answer
    x = 29,221.13

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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.