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Finding the Third Proportional to 7,846.03 and 17,241.19

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Solution

The third proportional to 7,846.03 and 17,241.19 is: 37,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.03 : 17,241.19 = 17,241.19 : x
  2. Step 2: Convert to fraction form
    7,846.03/17,241.19 = 17,241.19/x
  3. Step 3: Cross multiply
    7,846.03x = 17,241.19 × 17,241.19
  4. Step 4: Simplify right side
    7,846.03x = 297,258,546.41
  5. Step 5: Solve for x
    x = 297,258,546.41/7,846.03
  6. Step 6: Final answer
    x = 37,886.49

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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.