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Finding the Third Proportional to 5,178.94 and 7,241.91

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Solution

The third proportional to 5,178.94 and 7,241.91 is: 10,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.94 : 7,241.91 = 7,241.91 : x
  2. Step 2: Convert to fraction form
    5,178.94/7,241.91 = 7,241.91/x
  3. Step 3: Cross multiply
    5,178.94x = 7,241.91 × 7,241.91
  4. Step 4: Simplify right side
    5,178.94x = 52,445,206.13
  5. Step 5: Solve for x
    x = 52,445,206.13/5,178.94
  6. Step 6: Final answer
    x = 10,126.63

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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.