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Finding the Third Proportional to 5,388.25 and 8,409.75

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Solution

The third proportional to 5,388.25 and 8,409.75 is: 13,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.25 : 8,409.75 = 8,409.75 : x
  2. Step 2: Convert to fraction form
    5,388.25/8,409.75 = 8,409.75/x
  3. Step 3: Cross multiply
    5,388.25x = 8,409.75 × 8,409.75
  4. Step 4: Simplify right side
    5,388.25x = 70,723,895.06
  5. Step 5: Solve for x
    x = 70,723,895.06/5,388.25
  6. Step 6: Final answer
    x = 13,125.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.