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Finding the Third Proportional to 37,201.15 and 56,137.11

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Solution

The third proportional to 37,201.15 and 56,137.11 is: 84,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,201.15 : 56,137.11 = 56,137.11 : x
  2. Step 2: Convert to fraction form
    37,201.15/56,137.11 = 56,137.11/x
  3. Step 3: Cross multiply
    37,201.15x = 56,137.11 × 56,137.11
  4. Step 4: Simplify right side
    37,201.15x = 3,151,375,487.55
  5. Step 5: Solve for x
    x = 3,151,375,487.55/37,201.15
  6. Step 6: Final answer
    x = 84,711.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.