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Finding the Third Proportional to 3,135.94 and 6,834.94

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Solution

The third proportional to 3,135.94 and 6,834.94 is: 14,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.94 : 6,834.94 = 6,834.94 : x
  2. Step 2: Convert to fraction form
    3,135.94/6,834.94 = 6,834.94/x
  3. Step 3: Cross multiply
    3,135.94x = 6,834.94 × 6,834.94
  4. Step 4: Simplify right side
    3,135.94x = 46,716,370.63
  5. Step 5: Solve for x
    x = 46,716,370.63/3,135.94
  6. Step 6: Final answer
    x = 14,897.10

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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.