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Finding the Third Proportional to 30,322.69 and 49,516.31

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Solution

The third proportional to 30,322.69 and 49,516.31 is: 80,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,322.69 : 49,516.31 = 49,516.31 : x
  2. Step 2: Convert to fraction form
    30,322.69/49,516.31 = 49,516.31/x
  3. Step 3: Cross multiply
    30,322.69x = 49,516.31 × 49,516.31
  4. Step 4: Simplify right side
    30,322.69x = 2,451,865,203.60
  5. Step 5: Solve for x
    x = 2,451,865,203.60/30,322.69
  6. Step 6: Final answer
    x = 80,859.10

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.