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Finding the Third Proportional to 31,592.25 and 47,516.63

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Solution

The third proportional to 31,592.25 and 47,516.63 is: 71,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,592.25 : 47,516.63 = 47,516.63 : x
  2. Step 2: Convert to fraction form
    31,592.25/47,516.63 = 47,516.63/x
  3. Step 3: Cross multiply
    31,592.25x = 47,516.63 × 47,516.63
  4. Step 4: Simplify right side
    31,592.25x = 2,257,829,651.39
  5. Step 5: Solve for x
    x = 2,257,829,651.39/31,592.25
  6. Step 6: Final answer
    x = 71,467.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.