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Finding the Third Proportional to 6,180.47 and 14,584.22

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Solution

The third proportional to 6,180.47 and 14,584.22 is: 34,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.47 : 14,584.22 = 14,584.22 : x
  2. Step 2: Convert to fraction form
    6,180.47/14,584.22 = 14,584.22/x
  3. Step 3: Cross multiply
    6,180.47x = 14,584.22 × 14,584.22
  4. Step 4: Simplify right side
    6,180.47x = 212,699,436.55
  5. Step 5: Solve for x
    x = 212,699,436.55/6,180.47
  6. Step 6: Final answer
    x = 34,414.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.