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Finding the Third Proportional to 38,201.63 and 81,330.75

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Solution

The third proportional to 38,201.63 and 81,330.75 is: 173,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,201.63 : 81,330.75 = 81,330.75 : x
  2. Step 2: Convert to fraction form
    38,201.63/81,330.75 = 81,330.75/x
  3. Step 3: Cross multiply
    38,201.63x = 81,330.75 × 81,330.75
  4. Step 4: Simplify right side
    38,201.63x = 6,614,690,895.56
  5. Step 5: Solve for x
    x = 6,614,690,895.56/38,201.63
  6. Step 6: Final answer
    x = 173,152.08

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.