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Finding the Third Proportional to 6,933.09 and 15,247.41

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Solution

The third proportional to 6,933.09 and 15,247.41 is: 33,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.09 : 15,247.41 = 15,247.41 : x
  2. Step 2: Convert to fraction form
    6,933.09/15,247.41 = 15,247.41/x
  3. Step 3: Cross multiply
    6,933.09x = 15,247.41 × 15,247.41
  4. Step 4: Simplify right side
    6,933.09x = 232,483,397.35
  5. Step 5: Solve for x
    x = 232,483,397.35/6,933.09
  6. Step 6: Final answer
    x = 33,532.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.