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Finding the Third Proportional to 12,674 and 30,495

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Solution

The third proportional to 12,674 and 30,495 is: 73,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674 : 30,495 = 30,495 : x
  2. Step 2: Convert to fraction form
    12,674/30,495 = 30,495/x
  3. Step 3: Cross multiply
    12,674x = 30,495 × 30,495
  4. Step 4: Simplify right side
    12,674x = 929,945,025
  5. Step 5: Solve for x
    x = 929,945,025/12,674
  6. Step 6: Final answer
    x = 73,374.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.