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Finding the Third Proportional to 3,537.31 and 4,786.94

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Solution

The third proportional to 3,537.31 and 4,786.94 is: 6,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.31 : 4,786.94 = 4,786.94 : x
  2. Step 2: Convert to fraction form
    3,537.31/4,786.94 = 4,786.94/x
  3. Step 3: Cross multiply
    3,537.31x = 4,786.94 × 4,786.94
  4. Step 4: Simplify right side
    3,537.31x = 22,914,770.63
  5. Step 5: Solve for x
    x = 22,914,770.63/3,537.31
  6. Step 6: Final answer
    x = 6,478.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.