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Finding the Third Proportional to 19,614 and 41,052

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Solution

The third proportional to 19,614 and 41,052 is: 85,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614 : 41,052 = 41,052 : x
  2. Step 2: Convert to fraction form
    19,614/41,052 = 41,052/x
  3. Step 3: Cross multiply
    19,614x = 41,052 × 41,052
  4. Step 4: Simplify right side
    19,614x = 1,685,266,704
  5. Step 5: Solve for x
    x = 1,685,266,704/19,614
  6. Step 6: Final answer
    x = 85,921.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.