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Finding the Third Proportional to 3,731.63 and 5,230.41

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Solution

The third proportional to 3,731.63 and 5,230.41 is: 7,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.63 : 5,230.41 = 5,230.41 : x
  2. Step 2: Convert to fraction form
    3,731.63/5,230.41 = 5,230.41/x
  3. Step 3: Cross multiply
    3,731.63x = 5,230.41 × 5,230.41
  4. Step 4: Simplify right side
    3,731.63x = 27,357,149.54
  5. Step 5: Solve for x
    x = 27,357,149.54/3,731.63
  6. Step 6: Final answer
    x = 7,331.16

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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.