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Finding the Third Proportional to 13,051 and 20,213

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Solution

The third proportional to 13,051 and 20,213 is: 31,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051 : 20,213 = 20,213 : x
  2. Step 2: Convert to fraction form
    13,051/20,213 = 20,213/x
  3. Step 3: Cross multiply
    13,051x = 20,213 × 20,213
  4. Step 4: Simplify right side
    13,051x = 408,565,369
  5. Step 5: Solve for x
    x = 408,565,369/13,051
  6. Step 6: Final answer
    x = 31,305.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.