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Finding the Third Proportional to 13,397.25 and 27,887.25

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Solution

The third proportional to 13,397.25 and 27,887.25 is: 58,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397.25 : 27,887.25 = 27,887.25 : x
  2. Step 2: Convert to fraction form
    13,397.25/27,887.25 = 27,887.25/x
  3. Step 3: Cross multiply
    13,397.25x = 27,887.25 × 27,887.25
  4. Step 4: Simplify right side
    13,397.25x = 777,698,712.56
  5. Step 5: Solve for x
    x = 777,698,712.56/13,397.25
  6. Step 6: Final answer
    x = 58,049.13

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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.