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Finding the Third Proportional to 50,388.75 and 76,585.50

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Solution

The third proportional to 50,388.75 and 76,585.50 is: 116,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,388.75 : 76,585.50 = 76,585.50 : x
  2. Step 2: Convert to fraction form
    50,388.75/76,585.50 = 76,585.50/x
  3. Step 3: Cross multiply
    50,388.75x = 76,585.50 × 76,585.50
  4. Step 4: Simplify right side
    50,388.75x = 5,865,338,810.25
  5. Step 5: Solve for x
    x = 5,865,338,810.25/50,388.75
  6. Step 6: Final answer
    x = 116,401.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.