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Finding the Third Proportional to 2,836.88 and 3,971.63

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Solution

The third proportional to 2,836.88 and 3,971.63 is: 5,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.88 : 3,971.63 = 3,971.63 : x
  2. Step 2: Convert to fraction form
    2,836.88/3,971.63 = 3,971.63/x
  3. Step 3: Cross multiply
    2,836.88x = 3,971.63 × 3,971.63
  4. Step 4: Simplify right side
    2,836.88x = 15,773,805.14
  5. Step 5: Solve for x
    x = 15,773,805.14/2,836.88
  6. Step 6: Final answer
    x = 5,560.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.