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Finding the Third Proportional to 13,206.38 and 23,486.63

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Solution

The third proportional to 13,206.38 and 23,486.63 is: 41,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.38 : 23,486.63 = 23,486.63 : x
  2. Step 2: Convert to fraction form
    13,206.38/23,486.63 = 23,486.63/x
  3. Step 3: Cross multiply
    13,206.38x = 23,486.63 × 23,486.63
  4. Step 4: Simplify right side
    13,206.38x = 551,621,553.89
  5. Step 5: Solve for x
    x = 551,621,553.89/13,206.38
  6. Step 6: Final answer
    x = 41,769.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.