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Finding the Third Proportional to 43,057.13 and 65,496.94

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Solution

The third proportional to 43,057.13 and 65,496.94 is: 99,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,057.13 : 65,496.94 = 65,496.94 : x
  2. Step 2: Convert to fraction form
    43,057.13/65,496.94 = 65,496.94/x
  3. Step 3: Cross multiply
    43,057.13x = 65,496.94 × 65,496.94
  4. Step 4: Simplify right side
    43,057.13x = 4,289,848,821.88
  5. Step 5: Solve for x
    x = 4,289,848,821.88/43,057.13
  6. Step 6: Final answer
    x = 99,631.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.