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Finding the Third Proportional to 13,628.25 and 28,107

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Solution

The third proportional to 13,628.25 and 28,107 is: 57,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628.25 : 28,107 = 28,107 : x
  2. Step 2: Convert to fraction form
    13,628.25/28,107 = 28,107/x
  3. Step 3: Cross multiply
    13,628.25x = 28,107 × 28,107
  4. Step 4: Simplify right side
    13,628.25x = 790,003,449
  5. Step 5: Solve for x
    x = 790,003,449/13,628.25
  6. Step 6: Final answer
    x = 57,968.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.