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Finding the Third Proportional to 5,736.75 and 8,397.25

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Solution

The third proportional to 5,736.75 and 8,397.25 is: 12,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.75 : 8,397.25 = 8,397.25 : x
  2. Step 2: Convert to fraction form
    5,736.75/8,397.25 = 8,397.25/x
  3. Step 3: Cross multiply
    5,736.75x = 8,397.25 × 8,397.25
  4. Step 4: Simplify right side
    5,736.75x = 70,513,807.56
  5. Step 5: Solve for x
    x = 70,513,807.56/5,736.75
  6. Step 6: Final answer
    x = 12,291.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.