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Finding the Third Proportional to 34,500 and 50,613

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Solution

The third proportional to 34,500 and 50,613 is: 74,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,500 : 50,613 = 50,613 : x
  2. Step 2: Convert to fraction form
    34,500/50,613 = 50,613/x
  3. Step 3: Cross multiply
    34,500x = 50,613 × 50,613
  4. Step 4: Simplify right side
    34,500x = 2,561,675,769
  5. Step 5: Solve for x
    x = 2,561,675,769/34,500
  6. Step 6: Final answer
    x = 74,251.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.