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Finding the Third Proportional to 5,370.68 and 7,808.27

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Solution

The third proportional to 5,370.68 and 7,808.27 is: 11,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.68 : 7,808.27 = 7,808.27 : x
  2. Step 2: Convert to fraction form
    5,370.68/7,808.27 = 7,808.27/x
  3. Step 3: Cross multiply
    5,370.68x = 7,808.27 × 7,808.27
  4. Step 4: Simplify right side
    5,370.68x = 60,969,134.07
  5. Step 5: Solve for x
    x = 60,969,134.07/5,370.68
  6. Step 6: Final answer
    x = 11,352.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.