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Finding the Third Proportional to 5,178.25 and 8,032.75

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Solution

The third proportional to 5,178.25 and 8,032.75 is: 12,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.25 : 8,032.75 = 8,032.75 : x
  2. Step 2: Convert to fraction form
    5,178.25/8,032.75 = 8,032.75/x
  3. Step 3: Cross multiply
    5,178.25x = 8,032.75 × 8,032.75
  4. Step 4: Simplify right side
    5,178.25x = 64,525,072.56
  5. Step 5: Solve for x
    x = 64,525,072.56/5,178.25
  6. Step 6: Final answer
    x = 12,460.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.