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Finding the Third Proportional to 14,574.75 and 31,379.63

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Solution

The third proportional to 14,574.75 and 31,379.63 is: 67,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.75 : 31,379.63 = 31,379.63 : x
  2. Step 2: Convert to fraction form
    14,574.75/31,379.63 = 31,379.63/x
  3. Step 3: Cross multiply
    14,574.75x = 31,379.63 × 31,379.63
  4. Step 4: Simplify right side
    14,574.75x = 984,680,865.14
  5. Step 5: Solve for x
    x = 984,680,865.14/14,574.75
  6. Step 6: Final answer
    x = 67,560.74

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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.