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Finding the Third Proportional to 13,847.75 and 30,201.75

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Solution

The third proportional to 13,847.75 and 30,201.75 is: 65,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.75 : 30,201.75 = 30,201.75 : x
  2. Step 2: Convert to fraction form
    13,847.75/30,201.75 = 30,201.75/x
  3. Step 3: Cross multiply
    13,847.75x = 30,201.75 × 30,201.75
  4. Step 4: Simplify right side
    13,847.75x = 912,145,703.06
  5. Step 5: Solve for x
    x = 912,145,703.06/13,847.75
  6. Step 6: Final answer
    x = 65,869.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.