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Finding the Third Proportional to 3,126.09 and 6,833.06

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Solution

The third proportional to 3,126.09 and 6,833.06 is: 14,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.09 : 6,833.06 = 6,833.06 : x
  2. Step 2: Convert to fraction form
    3,126.09/6,833.06 = 6,833.06/x
  3. Step 3: Cross multiply
    3,126.09x = 6,833.06 × 6,833.06
  4. Step 4: Simplify right side
    3,126.09x = 46,690,743.13
  5. Step 5: Solve for x
    x = 46,690,743.13/3,126.09
  6. Step 6: Final answer
    x = 14,935.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.