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Finding the Third Proportional to 12,031.50 and 18,516.75

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Solution

The third proportional to 12,031.50 and 18,516.75 is: 28,497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.50 : 18,516.75 = 18,516.75 : x
  2. Step 2: Convert to fraction form
    12,031.50/18,516.75 = 18,516.75/x
  3. Step 3: Cross multiply
    12,031.50x = 18,516.75 × 18,516.75
  4. Step 4: Simplify right side
    12,031.50x = 342,870,030.56
  5. Step 5: Solve for x
    x = 342,870,030.56/12,031.50
  6. Step 6: Final answer
    x = 28,497.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.