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Finding the Third Proportional to 4,717.41 and 6,939.42

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Solution

The third proportional to 4,717.41 and 6,939.42 is: 10,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.41 : 6,939.42 = 6,939.42 : x
  2. Step 2: Convert to fraction form
    4,717.41/6,939.42 = 6,939.42/x
  3. Step 3: Cross multiply
    4,717.41x = 6,939.42 × 6,939.42
  4. Step 4: Simplify right side
    4,717.41x = 48,155,575.96
  5. Step 5: Solve for x
    x = 48,155,575.96/4,717.41
  6. Step 6: Final answer
    x = 10,208.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.