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Finding the Third Proportional to 37,539.94 and 66,732.87

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Solution

The third proportional to 37,539.94 and 66,732.87 is: 118,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,539.94 : 66,732.87 = 66,732.87 : x
  2. Step 2: Convert to fraction form
    37,539.94/66,732.87 = 66,732.87/x
  3. Step 3: Cross multiply
    37,539.94x = 66,732.87 × 66,732.87
  4. Step 4: Simplify right side
    37,539.94x = 4,453,275,465.31
  5. Step 5: Solve for x
    x = 4,453,275,465.31/37,539.94
  6. Step 6: Final answer
    x = 118,627.66

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.