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Finding the Third Proportional to 5,118.75 and 7,241.63

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Solution

The third proportional to 5,118.75 and 7,241.63 is: 10,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.75 : 7,241.63 = 7,241.63 : x
  2. Step 2: Convert to fraction form
    5,118.75/7,241.63 = 7,241.63/x
  3. Step 3: Cross multiply
    5,118.75x = 7,241.63 × 7,241.63
  4. Step 4: Simplify right side
    5,118.75x = 52,441,132.64
  5. Step 5: Solve for x
    x = 52,441,132.64/5,118.75
  6. Step 6: Final answer
    x = 10,244.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.