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Finding the Third Proportional to 3,963.94 and 6,117.40

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Solution

The third proportional to 3,963.94 and 6,117.40 is: 9,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.94 : 6,117.40 = 6,117.40 : x
  2. Step 2: Convert to fraction form
    3,963.94/6,117.40 = 6,117.40/x
  3. Step 3: Cross multiply
    3,963.94x = 6,117.40 × 6,117.40
  4. Step 4: Simplify right side
    3,963.94x = 37,422,563.64
  5. Step 5: Solve for x
    x = 37,422,563.64/3,963.94
  6. Step 6: Final answer
    x = 9,440.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.