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Finding the Third Proportional to 38,174.63 and 57,678.75

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Solution

The third proportional to 38,174.63 and 57,678.75 is: 87,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174.63 : 57,678.75 = 57,678.75 : x
  2. Step 2: Convert to fraction form
    38,174.63/57,678.75 = 57,678.75/x
  3. Step 3: Cross multiply
    38,174.63x = 57,678.75 × 57,678.75
  4. Step 4: Simplify right side
    38,174.63x = 3,326,838,201.56
  5. Step 5: Solve for x
    x = 3,326,838,201.56/38,174.63
  6. Step 6: Final answer
    x = 87,147.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.