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Finding the Third Proportional to 38,157.75 and 77,352.75

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Solution

The third proportional to 38,157.75 and 77,352.75 is: 156,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,157.75 : 77,352.75 = 77,352.75 : x
  2. Step 2: Convert to fraction form
    38,157.75/77,352.75 = 77,352.75/x
  3. Step 3: Cross multiply
    38,157.75x = 77,352.75 × 77,352.75
  4. Step 4: Simplify right side
    38,157.75x = 5,983,447,932.56
  5. Step 5: Solve for x
    x = 5,983,447,932.56/38,157.75
  6. Step 6: Final answer
    x = 156,808.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.