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Finding the Third Proportional to 4,914 and 7,546

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Solution

The third proportional to 4,914 and 7,546 is: 11,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914 : 7,546 = 7,546 : x
  2. Step 2: Convert to fraction form
    4,914/7,546 = 7,546/x
  3. Step 3: Cross multiply
    4,914x = 7,546 × 7,546
  4. Step 4: Simplify right side
    4,914x = 56,942,116
  5. Step 5: Solve for x
    x = 56,942,116/4,914
  6. Step 6: Final answer
    x = 11,587.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.