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Finding the Third Proportional to 37,828.27 and 56,793.66

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Solution

The third proportional to 37,828.27 and 56,793.66 is: 85,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,828.27 : 56,793.66 = 56,793.66 : x
  2. Step 2: Convert to fraction form
    37,828.27/56,793.66 = 56,793.66/x
  3. Step 3: Cross multiply
    37,828.27x = 56,793.66 × 56,793.66
  4. Step 4: Simplify right side
    37,828.27x = 3,225,519,390.24
  5. Step 5: Solve for x
    x = 3,225,519,390.24/37,828.27
  6. Step 6: Final answer
    x = 85,267.44

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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.