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Finding the Third Proportional to 14,095.50 and 32,775

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Solution

The third proportional to 14,095.50 and 32,775 is: 76,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.50 : 32,775 = 32,775 : x
  2. Step 2: Convert to fraction form
    14,095.50/32,775 = 32,775/x
  3. Step 3: Cross multiply
    14,095.50x = 32,775 × 32,775
  4. Step 4: Simplify right side
    14,095.50x = 1,074,200,625
  5. Step 5: Solve for x
    x = 1,074,200,625/14,095.50
  6. Step 6: Final answer
    x = 76,208.76

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.