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Finding the Third Proportional to 38,044.69 and 57,127.78

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Solution

The third proportional to 38,044.69 and 57,127.78 is: 85,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,044.69 : 57,127.78 = 57,127.78 : x
  2. Step 2: Convert to fraction form
    38,044.69/57,127.78 = 57,127.78/x
  3. Step 3: Cross multiply
    38,044.69x = 57,127.78 × 57,127.78
  4. Step 4: Simplify right side
    38,044.69x = 3,263,583,390.55
  5. Step 5: Solve for x
    x = 3,263,583,390.55/38,044.69
  6. Step 6: Final answer
    x = 85,782.89

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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.