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Finding the Third Proportional to 39,029.34 and 43,129.97

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Solution

The third proportional to 39,029.34 and 43,129.97 is: 47,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,029.34 : 43,129.97 = 43,129.97 : x
  2. Step 2: Convert to fraction form
    39,029.34/43,129.97 = 43,129.97/x
  3. Step 3: Cross multiply
    39,029.34x = 43,129.97 × 43,129.97
  4. Step 4: Simplify right side
    39,029.34x = 1,860,194,204.38
  5. Step 5: Solve for x
    x = 1,860,194,204.38/39,029.34
  6. Step 6: Final answer
    x = 47,661.43

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.