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Finding the Third Proportional to 13,302.75 and 27,732.25

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Solution

The third proportional to 13,302.75 and 27,732.25 is: 57,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.75 : 27,732.25 = 27,732.25 : x
  2. Step 2: Convert to fraction form
    13,302.75/27,732.25 = 27,732.25/x
  3. Step 3: Cross multiply
    13,302.75x = 27,732.25 × 27,732.25
  4. Step 4: Simplify right side
    13,302.75x = 769,077,690.06
  5. Step 5: Solve for x
    x = 769,077,690.06/13,302.75
  6. Step 6: Final answer
    x = 57,813.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.