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Finding the Third Proportional to 3,403.69 and 4,687.03

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Solution

The third proportional to 3,403.69 and 4,687.03 is: 6,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.69 : 4,687.03 = 4,687.03 : x
  2. Step 2: Convert to fraction form
    3,403.69/4,687.03 = 4,687.03/x
  3. Step 3: Cross multiply
    3,403.69x = 4,687.03 × 4,687.03
  4. Step 4: Simplify right side
    3,403.69x = 21,968,261.94
  5. Step 5: Solve for x
    x = 21,968,261.94/3,403.69
  6. Step 6: Final answer
    x = 6,454.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.