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Finding the Third Proportional to 12,306.09 and 26,996.20

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Solution

The third proportional to 12,306.09 and 26,996.20 is: 59,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.09 : 26,996.20 = 26,996.20 : x
  2. Step 2: Convert to fraction form
    12,306.09/26,996.20 = 26,996.20/x
  3. Step 3: Cross multiply
    12,306.09x = 26,996.20 × 26,996.20
  4. Step 4: Simplify right side
    12,306.09x = 728,794,983.17
  5. Step 5: Solve for x
    x = 728,794,983.17/12,306.09
  6. Step 6: Final answer
    x = 59,222.28

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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.