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Finding the Third Proportional to 3,810 and 8,179.13

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Solution

The third proportional to 3,810 and 8,179.13 is: 17,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810 : 8,179.13 = 8,179.13 : x
  2. Step 2: Convert to fraction form
    3,810/8,179.13 = 8,179.13/x
  3. Step 3: Cross multiply
    3,810x = 8,179.13 × 8,179.13
  4. Step 4: Simplify right side
    3,810x = 66,898,085.77
  5. Step 5: Solve for x
    x = 66,898,085.77/3,810
  6. Step 6: Final answer
    x = 17,558.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.