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Finding the Third Proportional to 21,966.75 and 51,833.25

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Solution

The third proportional to 21,966.75 and 51,833.25 is: 122,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,966.75 : 51,833.25 = 51,833.25 : x
  2. Step 2: Convert to fraction form
    21,966.75/51,833.25 = 51,833.25/x
  3. Step 3: Cross multiply
    21,966.75x = 51,833.25 × 51,833.25
  4. Step 4: Simplify right side
    21,966.75x = 2,686,685,805.56
  5. Step 5: Solve for x
    x = 2,686,685,805.56/21,966.75
  6. Step 6: Final answer
    x = 122,306.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.