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Finding the Third Proportional to 13,213.13 and 27,815.91

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Solution

The third proportional to 13,213.13 and 27,815.91 is: 58,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.13 : 27,815.91 = 27,815.91 : x
  2. Step 2: Convert to fraction form
    13,213.13/27,815.91 = 27,815.91/x
  3. Step 3: Cross multiply
    13,213.13x = 27,815.91 × 27,815.91
  4. Step 4: Simplify right side
    13,213.13x = 773,724,640.51
  5. Step 5: Solve for x
    x = 773,724,640.51/13,213.13
  6. Step 6: Final answer
    x = 58,557.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.