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Finding the Third Proportional to 38,515.50 and 57,834

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Solution

The third proportional to 38,515.50 and 57,834 is: 86,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,515.50 : 57,834 = 57,834 : x
  2. Step 2: Convert to fraction form
    38,515.50/57,834 = 57,834/x
  3. Step 3: Cross multiply
    38,515.50x = 57,834 × 57,834
  4. Step 4: Simplify right side
    38,515.50x = 3,344,771,556
  5. Step 5: Solve for x
    x = 3,344,771,556/38,515.50
  6. Step 6: Final answer
    x = 86,842.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.