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Finding the Third Proportional to 5,412.94 and 8,097.75

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Solution

The third proportional to 5,412.94 and 8,097.75 is: 12,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.94 : 8,097.75 = 8,097.75 : x
  2. Step 2: Convert to fraction form
    5,412.94/8,097.75 = 8,097.75/x
  3. Step 3: Cross multiply
    5,412.94x = 8,097.75 × 8,097.75
  4. Step 4: Simplify right side
    5,412.94x = 65,573,555.06
  5. Step 5: Solve for x
    x = 65,573,555.06/5,412.94
  6. Step 6: Final answer
    x = 12,114.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.