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Finding the Third Proportional to 21,414.75 and 51,528.75

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Solution

The third proportional to 21,414.75 and 51,528.75 is: 123,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.75 : 51,528.75 = 51,528.75 : x
  2. Step 2: Convert to fraction form
    21,414.75/51,528.75 = 51,528.75/x
  3. Step 3: Cross multiply
    21,414.75x = 51,528.75 × 51,528.75
  4. Step 4: Simplify right side
    21,414.75x = 2,655,212,076.56
  5. Step 5: Solve for x
    x = 2,655,212,076.56/21,414.75
  6. Step 6: Final answer
    x = 123,989.87

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.