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Finding the Third Proportional to 6,180.19 and 13,695.19

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Solution

The third proportional to 6,180.19 and 13,695.19 is: 30,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.19 : 13,695.19 = 13,695.19 : x
  2. Step 2: Convert to fraction form
    6,180.19/13,695.19 = 13,695.19/x
  3. Step 3: Cross multiply
    6,180.19x = 13,695.19 × 13,695.19
  4. Step 4: Simplify right side
    6,180.19x = 187,558,160.66
  5. Step 5: Solve for x
    x = 187,558,160.66/6,180.19
  6. Step 6: Final answer
    x = 30,348.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.