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Finding the Third Proportional to 4,241.53 and 5,577.19

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Solution

The third proportional to 4,241.53 and 5,577.19 is: 7,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.53 : 5,577.19 = 5,577.19 : x
  2. Step 2: Convert to fraction form
    4,241.53/5,577.19 = 5,577.19/x
  3. Step 3: Cross multiply
    4,241.53x = 5,577.19 × 5,577.19
  4. Step 4: Simplify right side
    4,241.53x = 31,105,020.41
  5. Step 5: Solve for x
    x = 31,105,020.41/4,241.53
  6. Step 6: Final answer
    x = 7,333.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.