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Finding the Third Proportional to 13,149 and 28,674

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Solution

The third proportional to 13,149 and 28,674 is: 62,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149 : 28,674 = 28,674 : x
  2. Step 2: Convert to fraction form
    13,149/28,674 = 28,674/x
  3. Step 3: Cross multiply
    13,149x = 28,674 × 28,674
  4. Step 4: Simplify right side
    13,149x = 822,198,276
  5. Step 5: Solve for x
    x = 822,198,276/13,149
  6. Step 6: Final answer
    x = 62,529.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.