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Finding the Third Proportional to 12,939.75 and 21,333.38

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Solution

The third proportional to 12,939.75 and 21,333.38 is: 35,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.75 : 21,333.38 = 21,333.38 : x
  2. Step 2: Convert to fraction form
    12,939.75/21,333.38 = 21,333.38/x
  3. Step 3: Cross multiply
    12,939.75x = 21,333.38 × 21,333.38
  4. Step 4: Simplify right side
    12,939.75x = 455,112,888.89
  5. Step 5: Solve for x
    x = 455,112,888.89/12,939.75
  6. Step 6: Final answer
    x = 35,171.69

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.