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Finding the Third Proportional to 38,029.50 and 59,193.56

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Solution

The third proportional to 38,029.50 and 59,193.56 is: 92,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,029.50 : 59,193.56 = 59,193.56 : x
  2. Step 2: Convert to fraction form
    38,029.50/59,193.56 = 59,193.56/x
  3. Step 3: Cross multiply
    38,029.50x = 59,193.56 × 59,193.56
  4. Step 4: Simplify right side
    38,029.50x = 3,503,877,841.44
  5. Step 5: Solve for x
    x = 3,503,877,841.44/38,029.50
  6. Step 6: Final answer
    x = 92,135.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.