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Finding the Third Proportional to 13,070 and 30,849

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Solution

The third proportional to 13,070 and 30,849 is: 72,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070 : 30,849 = 30,849 : x
  2. Step 2: Convert to fraction form
    13,070/30,849 = 30,849/x
  3. Step 3: Cross multiply
    13,070x = 30,849 × 30,849
  4. Step 4: Simplify right side
    13,070x = 951,660,801
  5. Step 5: Solve for x
    x = 951,660,801/13,070
  6. Step 6: Final answer
    x = 72,812.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.