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Finding the Third Proportional to 13,977.56 and 30,025.69

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Solution

The third proportional to 13,977.56 and 30,025.69 is: 64,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.56 : 30,025.69 = 30,025.69 : x
  2. Step 2: Convert to fraction form
    13,977.56/30,025.69 = 30,025.69/x
  3. Step 3: Cross multiply
    13,977.56x = 30,025.69 × 30,025.69
  4. Step 4: Simplify right side
    13,977.56x = 901,541,909.85
  5. Step 5: Solve for x
    x = 901,541,909.85/13,977.56
  6. Step 6: Final answer
    x = 64,499.22

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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.