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Finding the Third Proportional to 12,939.75 and 21,181.50

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Solution

The third proportional to 12,939.75 and 21,181.50 is: 34,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.75 : 21,181.50 = 21,181.50 : x
  2. Step 2: Convert to fraction form
    12,939.75/21,181.50 = 21,181.50/x
  3. Step 3: Cross multiply
    12,939.75x = 21,181.50 × 21,181.50
  4. Step 4: Simplify right side
    12,939.75x = 448,655,942.25
  5. Step 5: Solve for x
    x = 448,655,942.25/12,939.75
  6. Step 6: Final answer
    x = 34,672.69

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.