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Finding the Third Proportional to 12,165.19 and 14,906.53

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Solution

The third proportional to 12,165.19 and 14,906.53 is: 18,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 14,906.53 = 14,906.53 : x
  2. Step 2: Convert to fraction form
    12,165.19/14,906.53 = 14,906.53/x
  3. Step 3: Cross multiply
    12,165.19x = 14,906.53 × 14,906.53
  4. Step 4: Simplify right side
    12,165.19x = 222,204,673.91
  5. Step 5: Solve for x
    x = 222,204,673.91/12,165.19
  6. Step 6: Final answer
    x = 18,265.62

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.