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Finding the Third Proportional to 4,178.75 and 6,478.25

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Solution

The third proportional to 4,178.75 and 6,478.25 is: 10,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.75 : 6,478.25 = 6,478.25 : x
  2. Step 2: Convert to fraction form
    4,178.75/6,478.25 = 6,478.25/x
  3. Step 3: Cross multiply
    4,178.75x = 6,478.25 × 6,478.25
  4. Step 4: Simplify right side
    4,178.75x = 41,967,723.06
  5. Step 5: Solve for x
    x = 41,967,723.06/4,178.75
  6. Step 6: Final answer
    x = 10,043.13

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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.