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Finding the Third Proportional to 14,181.75 and 30,528.56

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Solution

The third proportional to 14,181.75 and 30,528.56 is: 65,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.75 : 30,528.56 = 30,528.56 : x
  2. Step 2: Convert to fraction form
    14,181.75/30,528.56 = 30,528.56/x
  3. Step 3: Cross multiply
    14,181.75x = 30,528.56 × 30,528.56
  4. Step 4: Simplify right side
    14,181.75x = 931,993,128.32
  5. Step 5: Solve for x
    x = 931,993,128.32/14,181.75
  6. Step 6: Final answer
    x = 65,717.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.