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Finding the Third Proportional to 3,100.29 and 6,782.77

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Solution

The third proportional to 3,100.29 and 6,782.77 is: 14,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.29 : 6,782.77 = 6,782.77 : x
  2. Step 2: Convert to fraction form
    3,100.29/6,782.77 = 6,782.77/x
  3. Step 3: Cross multiply
    3,100.29x = 6,782.77 × 6,782.77
  4. Step 4: Simplify right side
    3,100.29x = 46,005,909.52
  5. Step 5: Solve for x
    x = 46,005,909.52/3,100.29
  6. Step 6: Final answer
    x = 14,839.23

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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.