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Finding the Third Proportional to 30,453.75 and 44,757

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Solution

The third proportional to 30,453.75 and 44,757 is: 65,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,453.75 : 44,757 = 44,757 : x
  2. Step 2: Convert to fraction form
    30,453.75/44,757 = 44,757/x
  3. Step 3: Cross multiply
    30,453.75x = 44,757 × 44,757
  4. Step 4: Simplify right side
    30,453.75x = 2,003,189,049
  5. Step 5: Solve for x
    x = 2,003,189,049/30,453.75
  6. Step 6: Final answer
    x = 65,778.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.