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Finding the Third Proportional to 3,736.13 and 8,448.05

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Solution

The third proportional to 3,736.13 and 8,448.05 is: 19,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.13 : 8,448.05 = 8,448.05 : x
  2. Step 2: Convert to fraction form
    3,736.13/8,448.05 = 8,448.05/x
  3. Step 3: Cross multiply
    3,736.13x = 8,448.05 × 8,448.05
  4. Step 4: Simplify right side
    3,736.13x = 71,369,496.00
  5. Step 5: Solve for x
    x = 71,369,496.00/3,736.13
  6. Step 6: Final answer
    x = 19,102.55

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.