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Finding the Third Proportional to 5,106.06 and 10,679.77

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Solution

The third proportional to 5,106.06 and 10,679.77 is: 22,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.06 : 10,679.77 = 10,679.77 : x
  2. Step 2: Convert to fraction form
    5,106.06/10,679.77 = 10,679.77/x
  3. Step 3: Cross multiply
    5,106.06x = 10,679.77 × 10,679.77
  4. Step 4: Simplify right side
    5,106.06x = 114,057,393.80
  5. Step 5: Solve for x
    x = 114,057,393.80/5,106.06
  6. Step 6: Final answer
    x = 22,337.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.