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Finding the Third Proportional to 3,190.80 and 4,946.38

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Solution

The third proportional to 3,190.80 and 4,946.38 is: 7,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.80 : 4,946.38 = 4,946.38 : x
  2. Step 2: Convert to fraction form
    3,190.80/4,946.38 = 4,946.38/x
  3. Step 3: Cross multiply
    3,190.80x = 4,946.38 × 4,946.38
  4. Step 4: Simplify right side
    3,190.80x = 24,466,664.28
  5. Step 5: Solve for x
    x = 24,466,664.28/3,190.80
  6. Step 6: Final answer
    x = 7,667.88

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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.