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Finding the Third Proportional to 50,412.38 and 77,380.88

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Solution

The third proportional to 50,412.38 and 77,380.88 is: 118,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,412.38 : 77,380.88 = 77,380.88 : x
  2. Step 2: Convert to fraction form
    50,412.38/77,380.88 = 77,380.88/x
  3. Step 3: Cross multiply
    50,412.38x = 77,380.88 × 77,380.88
  4. Step 4: Simplify right side
    50,412.38x = 5,987,799,815.77
  5. Step 5: Solve for x
    x = 5,987,799,815.77/50,412.38
  6. Step 6: Final answer
    x = 118,776.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.