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Finding the Third Proportional to 3,810.94 and 6,086.25

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Solution

The third proportional to 3,810.94 and 6,086.25 is: 9,720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.94 : 6,086.25 = 6,086.25 : x
  2. Step 2: Convert to fraction form
    3,810.94/6,086.25 = 6,086.25/x
  3. Step 3: Cross multiply
    3,810.94x = 6,086.25 × 6,086.25
  4. Step 4: Simplify right side
    3,810.94x = 37,042,439.06
  5. Step 5: Solve for x
    x = 37,042,439.06/3,810.94
  6. Step 6: Final answer
    x = 9,720.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.