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Finding the Third Proportional to 14,046.56 and 30,158.63

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Solution

The third proportional to 14,046.56 and 30,158.63 is: 64,751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.56 : 30,158.63 = 30,158.63 : x
  2. Step 2: Convert to fraction form
    14,046.56/30,158.63 = 30,158.63/x
  3. Step 3: Cross multiply
    14,046.56x = 30,158.63 × 30,158.63
  4. Step 4: Simplify right side
    14,046.56x = 909,542,661.89
  5. Step 5: Solve for x
    x = 909,542,661.89/14,046.56
  6. Step 6: Final answer
    x = 64,751.97

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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.