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Finding the Third Proportional to 15,208.31 and 20,343.38

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Solution

The third proportional to 15,208.31 and 20,343.38 is: 27,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,208.31 : 20,343.38 = 20,343.38 : x
  2. Step 2: Convert to fraction form
    15,208.31/20,343.38 = 20,343.38/x
  3. Step 3: Cross multiply
    15,208.31x = 20,343.38 × 20,343.38
  4. Step 4: Simplify right side
    15,208.31x = 413,852,906.39
  5. Step 5: Solve for x
    x = 413,852,906.39/15,208.31
  6. Step 6: Final answer
    x = 27,212.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.