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Finding the Third Proportional to 13,186 and 28,676

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Solution

The third proportional to 13,186 and 28,676 is: 62,362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186 : 28,676 = 28,676 : x
  2. Step 2: Convert to fraction form
    13,186/28,676 = 28,676/x
  3. Step 3: Cross multiply
    13,186x = 28,676 × 28,676
  4. Step 4: Simplify right side
    13,186x = 822,312,976
  5. Step 5: Solve for x
    x = 822,312,976/13,186
  6. Step 6: Final answer
    x = 62,362.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.