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Finding the Third Proportional to 9,936.75 and 21,057.75

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Solution

The third proportional to 9,936.75 and 21,057.75 is: 44,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.75 : 21,057.75 = 21,057.75 : x
  2. Step 2: Convert to fraction form
    9,936.75/21,057.75 = 21,057.75/x
  3. Step 3: Cross multiply
    9,936.75x = 21,057.75 × 21,057.75
  4. Step 4: Simplify right side
    9,936.75x = 443,428,835.06
  5. Step 5: Solve for x
    x = 443,428,835.06/9,936.75
  6. Step 6: Final answer
    x = 44,625.14

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Why These Related Problems?

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