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Finding the Third Proportional to 11,929.78 and 27,421.03

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Solution

The third proportional to 11,929.78 and 27,421.03 is: 63,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.78 : 27,421.03 = 27,421.03 : x
  2. Step 2: Convert to fraction form
    11,929.78/27,421.03 = 27,421.03/x
  3. Step 3: Cross multiply
    11,929.78x = 27,421.03 × 27,421.03
  4. Step 4: Simplify right side
    11,929.78x = 751,912,954.81
  5. Step 5: Solve for x
    x = 751,912,954.81/11,929.78
  6. Step 6: Final answer
    x = 63,028.23

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.