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Finding the Third Proportional to 28,524.97 and 65,738.14

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Solution

The third proportional to 28,524.97 and 65,738.14 is: 151,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,524.97 : 65,738.14 = 65,738.14 : x
  2. Step 2: Convert to fraction form
    28,524.97/65,738.14 = 65,738.14/x
  3. Step 3: Cross multiply
    28,524.97x = 65,738.14 × 65,738.14
  4. Step 4: Simplify right side
    28,524.97x = 4,321,503,646.41
  5. Step 5: Solve for x
    x = 4,321,503,646.41/28,524.97
  6. Step 6: Final answer
    x = 151,498.96

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.