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Finding the Third Proportional to 30,000.38 and 63,690.75

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Solution

The third proportional to 30,000.38 and 63,690.75 is: 135,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000.38 : 63,690.75 = 63,690.75 : x
  2. Step 2: Convert to fraction form
    30,000.38/63,690.75 = 63,690.75/x
  3. Step 3: Cross multiply
    30,000.38x = 63,690.75 × 63,690.75
  4. Step 4: Simplify right side
    30,000.38x = 4,056,511,635.56
  5. Step 5: Solve for x
    x = 4,056,511,635.56/30,000.38
  6. Step 6: Final answer
    x = 135,215.36

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.