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Finding the Third Proportional to 36,513 and 77,734

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Solution

The third proportional to 36,513 and 77,734 is: 165,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,513 : 77,734 = 77,734 : x
  2. Step 2: Convert to fraction form
    36,513/77,734 = 77,734/x
  3. Step 3: Cross multiply
    36,513x = 77,734 × 77,734
  4. Step 4: Simplify right side
    36,513x = 6,042,574,756
  5. Step 5: Solve for x
    x = 6,042,574,756/36,513
  6. Step 6: Final answer
    x = 165,491.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.