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Finding the Third Proportional to 4,178.25 and 6,277.50

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Solution

The third proportional to 4,178.25 and 6,277.50 is: 9,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.25 : 6,277.50 = 6,277.50 : x
  2. Step 2: Convert to fraction form
    4,178.25/6,277.50 = 6,277.50/x
  3. Step 3: Cross multiply
    4,178.25x = 6,277.50 × 6,277.50
  4. Step 4: Simplify right side
    4,178.25x = 39,407,006.25
  5. Step 5: Solve for x
    x = 39,407,006.25/4,178.25
  6. Step 6: Final answer
    x = 9,431.46

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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.