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Finding the Third Proportional to 12,406.29 and 27,043.24

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Solution

The third proportional to 12,406.29 and 27,043.24 is: 58,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.29 : 27,043.24 = 27,043.24 : x
  2. Step 2: Convert to fraction form
    12,406.29/27,043.24 = 27,043.24/x
  3. Step 3: Cross multiply
    12,406.29x = 27,043.24 × 27,043.24
  4. Step 4: Simplify right side
    12,406.29x = 731,336,948.01
  5. Step 5: Solve for x
    x = 731,336,948.01/12,406.29
  6. Step 6: Final answer
    x = 58,948.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.