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Finding the Third Proportional to 28,181.81 and 42,195.09

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Solution

The third proportional to 28,181.81 and 42,195.09 is: 63,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,181.81 : 42,195.09 = 42,195.09 : x
  2. Step 2: Convert to fraction form
    28,181.81/42,195.09 = 42,195.09/x
  3. Step 3: Cross multiply
    28,181.81x = 42,195.09 × 42,195.09
  4. Step 4: Simplify right side
    28,181.81x = 1,780,425,936.57
  5. Step 5: Solve for x
    x = 1,780,425,936.57/28,181.81
  6. Step 6: Final answer
    x = 63,176.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.