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Finding the Third Proportional to 4,127.63 and 6,393.94

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Solution

The third proportional to 4,127.63 and 6,393.94 is: 9,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.63 : 6,393.94 = 6,393.94 : x
  2. Step 2: Convert to fraction form
    4,127.63/6,393.94 = 6,393.94/x
  3. Step 3: Cross multiply
    4,127.63x = 6,393.94 × 6,393.94
  4. Step 4: Simplify right side
    4,127.63x = 40,882,436.75
  5. Step 5: Solve for x
    x = 40,882,436.75/4,127.63
  6. Step 6: Final answer
    x = 9,904.59

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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.