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Finding the Third Proportional to 38,367.42 and 83,295.84

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Solution

The third proportional to 38,367.42 and 83,295.84 is: 180,835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,367.42 : 83,295.84 = 83,295.84 : x
  2. Step 2: Convert to fraction form
    38,367.42/83,295.84 = 83,295.84/x
  3. Step 3: Cross multiply
    38,367.42x = 83,295.84 × 83,295.84
  4. Step 4: Simplify right side
    38,367.42x = 6,938,197,586.02
  5. Step 5: Solve for x
    x = 6,938,197,586.02/38,367.42
  6. Step 6: Final answer
    x = 180,835.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.