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Finding the Third Proportional to 4,116 and 4,686

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Solution

The third proportional to 4,116 and 4,686 is: 5,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 4,686 = 4,686 : x
  2. Step 2: Convert to fraction form
    4,116/4,686 = 4,686/x
  3. Step 3: Cross multiply
    4,116x = 4,686 × 4,686
  4. Step 4: Simplify right side
    4,116x = 21,958,596
  5. Step 5: Solve for x
    x = 21,958,596/4,116
  6. Step 6: Final answer
    x = 5,334.94

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.