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Finding the Third Proportional to 4,276.13 and 6,930.56

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Solution

The third proportional to 4,276.13 and 6,930.56 is: 11,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.13 : 6,930.56 = 6,930.56 : x
  2. Step 2: Convert to fraction form
    4,276.13/6,930.56 = 6,930.56/x
  3. Step 3: Cross multiply
    4,276.13x = 6,930.56 × 6,930.56
  4. Step 4: Simplify right side
    4,276.13x = 48,032,696.57
  5. Step 5: Solve for x
    x = 48,032,696.57/4,276.13
  6. Step 6: Final answer
    x = 11,232.76

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.