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Finding the Third Proportional to 33,739.50 and 53,613

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Solution

The third proportional to 33,739.50 and 53,613 is: 85,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,739.50 : 53,613 = 53,613 : x
  2. Step 2: Convert to fraction form
    33,739.50/53,613 = 53,613/x
  3. Step 3: Cross multiply
    33,739.50x = 53,613 × 53,613
  4. Step 4: Simplify right side
    33,739.50x = 2,874,353,769
  5. Step 5: Solve for x
    x = 2,874,353,769/33,739.50
  6. Step 6: Final answer
    x = 85,192.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.