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Finding the Third Proportional to 38,235.38 and 56,225.25

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Solution

The third proportional to 38,235.38 and 56,225.25 is: 82,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,235.38 : 56,225.25 = 56,225.25 : x
  2. Step 2: Convert to fraction form
    38,235.38/56,225.25 = 56,225.25/x
  3. Step 3: Cross multiply
    38,235.38x = 56,225.25 × 56,225.25
  4. Step 4: Simplify right side
    38,235.38x = 3,161,278,737.56
  5. Step 5: Solve for x
    x = 3,161,278,737.56/38,235.38
  6. Step 6: Final answer
    x = 82,679.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.