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Finding the Third Proportional to 32,854 and 50,095

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Solution

The third proportional to 32,854 and 50,095 is: 76,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854 : 50,095 = 50,095 : x
  2. Step 2: Convert to fraction form
    32,854/50,095 = 50,095/x
  3. Step 3: Cross multiply
    32,854x = 50,095 × 50,095
  4. Step 4: Simplify right side
    32,854x = 2,509,509,025
  5. Step 5: Solve for x
    x = 2,509,509,025/32,854
  6. Step 6: Final answer
    x = 76,383.67

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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.