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Finding the Third Proportional to 6,180.19 and 13,530.94

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Solution

The third proportional to 6,180.19 and 13,530.94 is: 29,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.19 : 13,530.94 = 13,530.94 : x
  2. Step 2: Convert to fraction form
    6,180.19/13,530.94 = 13,530.94/x
  3. Step 3: Cross multiply
    6,180.19x = 13,530.94 × 13,530.94
  4. Step 4: Simplify right side
    6,180.19x = 183,086,269.63
  5. Step 5: Solve for x
    x = 183,086,269.63/6,180.19
  6. Step 6: Final answer
    x = 29,624.71

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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.