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Finding the Third Proportional to 13,186.69 and 26,862.75

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Solution

The third proportional to 13,186.69 and 26,862.75 is: 54,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.69 : 26,862.75 = 26,862.75 : x
  2. Step 2: Convert to fraction form
    13,186.69/26,862.75 = 26,862.75/x
  3. Step 3: Cross multiply
    13,186.69x = 26,862.75 × 26,862.75
  4. Step 4: Simplify right side
    13,186.69x = 721,607,337.56
  5. Step 5: Solve for x
    x = 721,607,337.56/13,186.69
  6. Step 6: Final answer
    x = 54,722.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.