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Finding the Third Proportional to 50,437.69 and 67,352.77

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Solution

The third proportional to 50,437.69 and 67,352.77 is: 89,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,437.69 : 67,352.77 = 67,352.77 : x
  2. Step 2: Convert to fraction form
    50,437.69/67,352.77 = 67,352.77/x
  3. Step 3: Cross multiply
    50,437.69x = 67,352.77 × 67,352.77
  4. Step 4: Simplify right side
    50,437.69x = 4,536,395,037.34
  5. Step 5: Solve for x
    x = 4,536,395,037.34/50,437.69
  6. Step 6: Final answer
    x = 89,940.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.