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Finding the Third Proportional to 3,151.41 and 6,855.47

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Solution

The third proportional to 3,151.41 and 6,855.47 is: 14,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.41 : 6,855.47 = 6,855.47 : x
  2. Step 2: Convert to fraction form
    3,151.41/6,855.47 = 6,855.47/x
  3. Step 3: Cross multiply
    3,151.41x = 6,855.47 × 6,855.47
  4. Step 4: Simplify right side
    3,151.41x = 46,997,451.78
  5. Step 5: Solve for x
    x = 46,997,451.78/3,151.41
  6. Step 6: Final answer
    x = 14,913.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.