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Finding the Third Proportional to 41,316.75 and 54,563.63

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Solution

The third proportional to 41,316.75 and 54,563.63 is: 72,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,316.75 : 54,563.63 = 54,563.63 : x
  2. Step 2: Convert to fraction form
    41,316.75/54,563.63 = 54,563.63/x
  3. Step 3: Cross multiply
    41,316.75x = 54,563.63 × 54,563.63
  4. Step 4: Simplify right side
    41,316.75x = 2,977,189,173.14
  5. Step 5: Solve for x
    x = 2,977,189,173.14/41,316.75
  6. Step 6: Final answer
    x = 72,057.68

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.