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Finding the Third Proportional to 22,515.75 and 54,029.25

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Solution

The third proportional to 22,515.75 and 54,029.25 is: 129,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515.75 : 54,029.25 = 54,029.25 : x
  2. Step 2: Convert to fraction form
    22,515.75/54,029.25 = 54,029.25/x
  3. Step 3: Cross multiply
    22,515.75x = 54,029.25 × 54,029.25
  4. Step 4: Simplify right side
    22,515.75x = 2,919,159,855.56
  5. Step 5: Solve for x
    x = 2,919,159,855.56/22,515.75
  6. Step 6: Final answer
    x = 129,649.68

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.