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Finding the Third Proportional to 30,729.38 and 42,054.75

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Solution

The third proportional to 30,729.38 and 42,054.75 is: 57,554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.38 : 42,054.75 = 42,054.75 : x
  2. Step 2: Convert to fraction form
    30,729.38/42,054.75 = 42,054.75/x
  3. Step 3: Cross multiply
    30,729.38x = 42,054.75 × 42,054.75
  4. Step 4: Simplify right side
    30,729.38x = 1,768,601,997.56
  5. Step 5: Solve for x
    x = 1,768,601,997.56/30,729.38
  6. Step 6: Final answer
    x = 57,554.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.