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Finding the Third Proportional to 13,973.75 and 21,091.75

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Solution

The third proportional to 13,973.75 and 21,091.75 is: 31,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.75 : 21,091.75 = 21,091.75 : x
  2. Step 2: Convert to fraction form
    13,973.75/21,091.75 = 21,091.75/x
  3. Step 3: Cross multiply
    13,973.75x = 21,091.75 × 21,091.75
  4. Step 4: Simplify right side
    13,973.75x = 444,861,918.06
  5. Step 5: Solve for x
    x = 444,861,918.06/13,973.75
  6. Step 6: Final answer
    x = 31,835.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.