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Finding the Third Proportional to 57,837.09 and 78,793.03

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Solution

The third proportional to 57,837.09 and 78,793.03 is: 107,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,837.09 : 78,793.03 = 78,793.03 : x
  2. Step 2: Convert to fraction form
    57,837.09/78,793.03 = 78,793.03/x
  3. Step 3: Cross multiply
    57,837.09x = 78,793.03 × 78,793.03
  4. Step 4: Simplify right side
    57,837.09x = 6,208,341,773.56
  5. Step 5: Solve for x
    x = 6,208,341,773.56/57,837.09
  6. Step 6: Final answer
    x = 107,341.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.