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Finding the Third Proportional to 3,135.27 and 4,729.54

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Solution

The third proportional to 3,135.27 and 4,729.54 is: 7,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.27 : 4,729.54 = 4,729.54 : x
  2. Step 2: Convert to fraction form
    3,135.27/4,729.54 = 4,729.54/x
  3. Step 3: Cross multiply
    3,135.27x = 4,729.54 × 4,729.54
  4. Step 4: Simplify right side
    3,135.27x = 22,368,502.79
  5. Step 5: Solve for x
    x = 22,368,502.79/3,135.27
  6. Step 6: Final answer
    x = 7,134.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.