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Finding the Third Proportional to 10,713 and 13,089

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Solution

The third proportional to 10,713 and 13,089 is: 15,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713 : 13,089 = 13,089 : x
  2. Step 2: Convert to fraction form
    10,713/13,089 = 13,089/x
  3. Step 3: Cross multiply
    10,713x = 13,089 × 13,089
  4. Step 4: Simplify right side
    10,713x = 171,321,921
  5. Step 5: Solve for x
    x = 171,321,921/10,713
  6. Step 6: Final answer
    x = 15,991.96

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.