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Finding the Third Proportional to 38,135.46 and 79,427.25

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Solution

The third proportional to 38,135.46 and 79,427.25 is: 165,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,135.46 : 79,427.25 = 79,427.25 : x
  2. Step 2: Convert to fraction form
    38,135.46/79,427.25 = 79,427.25/x
  3. Step 3: Cross multiply
    38,135.46x = 79,427.25 × 79,427.25
  4. Step 4: Simplify right side
    38,135.46x = 6,308,688,042.56
  5. Step 5: Solve for x
    x = 6,308,688,042.56/38,135.46
  6. Step 6: Final answer
    x = 165,428.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.