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Finding the Third Proportional to 20,052.75 and 22,968.75

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Solution

The third proportional to 20,052.75 and 22,968.75 is: 26,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,052.75 : 22,968.75 = 22,968.75 : x
  2. Step 2: Convert to fraction form
    20,052.75/22,968.75 = 22,968.75/x
  3. Step 3: Cross multiply
    20,052.75x = 22,968.75 × 22,968.75
  4. Step 4: Simplify right side
    20,052.75x = 527,563,476.56
  5. Step 5: Solve for x
    x = 527,563,476.56/20,052.75
  6. Step 6: Final answer
    x = 26,308.78

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.